Another update, I put my car's front wheels back up on the stands just to be sure. Again, no real play that I can feel when I put my hands on 9 and 3, then 12 and 6 and shake. I then did the test where you spin the wheel and feel for vibrations in the spring. Couldn't really get the wheel spinning fast or long enough to feel any vibration. So I went ahead and did something that's somewhat dangerous and you have to take precaution before doing: I turned on my car and put it into gear to reproduce the noise.
I started off by shifting it into 1st, and it was only idling at around 5mph (standard for 1st). I couldn't really hear anything. So I then had the idea to shift it into a higher gear, to try and get it to a higher speed. So I went and shifted it into 3rd, and I couldn't really hear it too much, but I could definitely feel it. Going back outside the car, I could hear it slightly if I tried to listen hard, but what I saw with my left wheel made me think I figured out the issue. When having it in 4th (the wheels are going around 20mph), I could see that my left wheel had a slight wobble to it. It wasn't egregious, but it was there if you looked for it. Comparing it to the right, it was smooth as can be, no wobble with that one. So, those of you that guessed it might be a wheel bearing, I think you're right? I was suspecting this more as soon as I crossed off power steering from the potential list. Also, the noise is there, but definitely gets worse as I turn (like I said before), and does feel worse and get louder when I turn to the right, or so it seems to get louder. So, safe to assume I should be ordering a new wheel bearing and hub?