Yeah, you can't get a quote from someone without examination on this, and if you insist on one you're going to get a $5,000 quote. It's what I'd tell you too.
Why? Because if I tell you $2,000, and there is cylinder damage, I'm going to eat $3,000. Thus if the head's not off in my shop the quote is $5 large.
The odds are good the head needs rework but is reusable. $1,000 or so for that. Plus a timing belt kit and labor to install it. The usual shop price for a timing belt job is in the $1k range; the PROPER kit is about $400 + supplies (e.g. coolant, etc) and it's ~6 hours of book time to do so you're pushing $1,000. With that many miles the odds are high the front main is leaking and should be replaced, and I'd consider the oil pump guide and chain if the front main IS leaking, so add for that too since if it breaks your engine is toast (another hour or maybe two in labor, and a couple hundred more in parts.)
It's also very possible at that mileage that when I get the head off I don't like the cylinder bore condition even if there's no rod or piston crown damage at which point the price goes up quite a lot, especially if the cylinders are not round and thus can't be simply honed and the pistons re-ringed.
The car is worth little not running -- basically it's a part-out. Assuming it's a MT so there's value in the gearbox, engine accessories and maybe some value in the interior and modules. I think at this age and miles I'd part it out if I had the space, or sell it "as-is, broken timing belt" if not.