Of course I have no idea where in Long Island you would be leaving from, so I picked a spot. Same for Memphis at the end. Microsoft Streets and Trips comes up with this, a 2 day trip starting at 7 am and stopping at 5 pm and an overnight in Cinci :
Basically it is I-78 from New Jersey to I-81 at Harrisburg, pick up I-76 to New Stanton. Then I-70 to Columbus, there take I-270 to by-pass Columbus to I-71 and follow I-71 to Lousiville. There pick up I-65 to Nashville and then I-40 all the way to Memphis.
Happy travelling
===============================================
Time Mile Instruction For Toward
Summary: 1139.7 miles (1 day, 7 hours, 40 minutes)
DAY 1
7:00 0.0 Depart Cross Island Pkwy, Queens Village, NY 11429 on Local road(s) (West) 43 yds
7:00 0.1 Turn RIGHT (North) onto Cross Island Pky [Cross Island Pky Service Rd] 10 yds
7:00 0.1 Keep STRAIGHT onto Cross Island Pky [Cross Island Pky Service Rd S] 0.4 mi
7:01 0.5 Turn LEFT (West) onto 107th Ave 0.2 mi
7:02 0.6 Turn RIGHT (North) onto 225th St 0.2 mi
7:03 0.9 Turn LEFT (West) onto SR-24 [Hempstead Ave] 0.9 mi
7:04 1.7 Road name changes to Local road(s) 54 yds
7:04 1.7 Turn LEFT (West) onto Jamaica Ave 87 yds
7:05 1.8 Keep STRAIGHT onto SR-24 [Jamaica Ave] 87 yds
7:05 1.8 Turn RIGHT (North) onto SR-24 [212th St] 0.7 mi
7:06 2.6 Road name changes to 212th St 54 yds
7:06 2.6 At exit 1, road name changes to I-295 [Clearview Expy] 1.4 mi I-295 / Clearview Expwy / Throgs Neck Br
7:07 4.0 At exit 4, turn RIGHT onto Ramp 0.2 mi I-495 / L.I. Expwy / Midtown Tun / Eastern L.I.
7:08 4.2 Take Ramp (RIGHT) onto I-495 [Lie] 11.8 mi I-495 / L.I. Expwy / Midtown Tun
7:22 16.0 Turn off onto Ramp 0.1 mi
7:22 16.1 Keep LEFT to stay on Ramp 0.1 mi 35 St / 34 St / Downtown
7:22 16.2 Bear RIGHT (South-West) onto Queens Midtown Tunnel Exit [Tunnel Exit St], then immediately turn LEFT (East) onto E 34th St 0.1 mi
7:23 16.3 Turn RIGHT (South) onto 2nd Ave 1.7 mi
7:25 18.0 Turn RIGHT (West) onto E Houston St, then immediately bear LEFT (South-West) onto Bowery 0.3 mi
7:26 18.3 Turn RIGHT (West) onto Kenmare St 0.2 mi
7:26 18.6 Turn LEFT (South-West) onto Lafayette St, then immediately turn RIGHT (West) onto Broome St 0.3 mi
7:27 18.9 Keep STRAIGHT onto Watts St 0.2 mi
7:27 19.1 Road name changes to Local road(s) 131 yds Holland Tunnel
7:27 19.1 Bear RIGHT (North) onto Holland Tunnel 1.9 mi
7:28 20.0 Entering New Jersey
7:29 21.0 Bear LEFT (West) onto 14th St [Boyle Plaza] 0.3 mi
7:30 21.2 Road name changes to I-78 [US-1] 65 yds
7:30 21.3 Keep STRAIGHT onto US-1 [US-1 & 9] 6.9 mi US 1 / US 9
7:37 28.2 Keep RIGHT onto Ramp 153 yds I-78 / Garden State Parkway / Port Newark / Newark International Airport North Area / Newark International Airport Air Cargo
7:37 28.2 Keep RIGHT to stay on Ramp 0.2 mi Frontage Rd
7:38 28.4 Turn LEFT (West) onto Frontage Rd, then immediately turn LEFT (South-West) onto Ramp 109 yds
7:38 28.5 Merge onto I-78 53.9 mi
Construction in Hillside (WB) (October 9, 2006 - June 29, 2007)
8:24 82.4 At exit 3, turn RIGHT onto Ramp 0.4 mi US-22 / PA-33 / RT-122 / Phillipsburg / Alpha
8:25 82.8 Keep RIGHT onto US-22 27.2 mi
8:30 87.3 Entering Pennsylvania
8:53 110.1 Merge onto I-78 [US-22] 50.7 mi
9:42 160.7 At exit 1, take Ramp (LEFT) onto I-81 [American Legion Memorial Hwy] 37.3 mi I-81 / Harrisburg
10:15 198.0 At exit 52, turn RIGHT onto Ramp 0.3 mi US-11 / I-76 / New Kingstown / Middlesex / Penna Turnpike
10:16 198.3 Keep RIGHT to stay on Ramp 21 yds
10:16 198.3 Keep RIGHT to stay on Ramp 98 yds PA-11 / Turnpike
10:16 198.3 Bear RIGHT (West) onto US-11 [Harrisburg Pike] 0.9 mi
10:17 199.3 Keep RIGHT onto Ramp 0.6 mi I-76 / Penna Turnpike / Philadelphia / Pittsburgh
10:18 199.8 Keep RIGHT to stay on Ramp 0.2 mi I-76 / Pittsburgh
10:19 200.1 *Toll road* Merge onto I-76 [Pennsylvania Tpke] 65.5 mi
11:21 265.6 *Toll road* Road name changes to I-70 [I-76] 86.3 mi
12:48 351.9 Keep RIGHT onto Ramp [New Stanton Interchange] 0.4 mi I-70 / US-119 / Columbus / Wheeling
12:49 352.3 Take Ramp (RIGHT) onto I-70 187.9 mi
13:42 409.9 Entering West Virginia
13:56 424.0 Entering Ohio
15:33 540.2 At exit 108A-B, turn off onto Ramp 0.2 mi I-270 / Cincinnati / Cleveland
15:33 540.4 Keep LEFT to stay on Ramp 0.4 mi I-270 / Cincinnati
15:34 540.7 At exit 108A, keep RIGHT to stay on Ramp 0.4 mi I-270 / Cincinnati
15:34 541.1 At exit 43B, take Ramp (LEFT) onto I-270 3.8 mi
15:38 544.9 At near Edgewater Park, stay on I-270 (South-West) 7.8 mi
15:44 552.6 At exit 55, turn LEFT onto Ramp 0.2 mi I-71 / Cincinnati / Columbus
15:45 552.8 Keep LEFT to stay on Ramp 0.3 mi I-71 / Cincinnati
15:45 553.2 At exit 55, take Ramp (RIGHT) onto I-71 88.8 mi I-71 / Cincinnati
17:00 642.0 End of day
DAY 2
Check your departure time; the next stop is in a different time zone.
7:00 642.0 Stay on I-71 32.3 mi
7:12 655.4 Entering Kentucky
7:28 674.3 At exit 173, take Ramp (RIGHT) onto I-71 71.6 mi I-71 / Louisville
8:35 745.9 At exit 5, take Ramp (RIGHT) onto I-71 5.9 mi I-71 / Louisville
8:40 751.8 Take Ramp (RIGHT) onto I-65 170.6 mi I-65 / Louisville / Nashville
10:51 889.0 Entering Tennessee
Reconstruction near Reubensville (SB) (October 13, 2006 - June 29, 2007)
11:21 922.4 Merge onto I-24 [I-65] 1.7 mi
11:22 924.1 Take Ramp (RIGHT) onto I-65 2.0 mi I-65 / I-40 W / Memphis / Huntsville
11:24 926.1 At exit 84A, take Ramp (LEFT) onto I-40 182.3 mi I-40 / Memphis
14:08 1108.4 Turn RIGHT onto Ramp 0.3 mi TN-205 / TN-385
14:08 1108.7 At exit 25, keep LEFT to stay on Ramp 0.7 mi TN-385 / Millington
14:09 1109.4 At exit 24A, keep LEFT to stay on Ramp 0.3 mi
14:09 1109.7 Take Ramp (LEFT) onto I-40 13.5 mi I-40 / Memphis
14:23 1123.2 At exit 10B, take Ramp (RIGHT) onto I-40 11.7 mi I-40
14:35 1134.9 At exit 1E, road name changes to I-240 3.1 mi I-240 / Jackson Miss
14:38 1138.0 At exit 28A, take Ramp (RIGHT) onto S Parkway E 0.2 mi S Parkway
14:38 1138.2 Take Ramp (RIGHT) onto I-240 1.4 mi I-240
Check local time; this stop is in a different time zone.
14:40 1139.7 Arrive
SUMMARY
Driving distance: 1139.7 miles
Trip duration: 1 day, 7 hours, 40 minutes
Driving time: 17 hours, 40 minutes