Keep searching
Dont give up!! I think 4,000 is not to bad but there is far better deals if you just search and take your time. Look on e-bay there is many good deals on there all the time. I found a 92 gt with 90k for 2500 in Tucson just about 2 weeks ago. I passed on that because I had found an even better deal on a black 91 lx coupe. Dart block, AFR heads 205, x 303 cam, Novi2000, Viper spec t-56, Forged internals, GT-40 intake, Alum. drive shaft, spec stage 3 clutch, Aero 1000lph fuel system, AEM ecu, 60 pound injecters, Rear sump tank, and many suspension upgrades. This was more then I was looking for but for the price to build it was a deal to me at 11k.
There is like a line in the fox body selling world. If you are looking to spend 2-5k your going to get a mostly stock car with some few and far between that are already modded nicely. If you save and spend 5-8k you can find a low 12 second car. That all depends on if you want to "build" it yourself or find one done. I have done it both ways and because I dont keep anything long its cheaper to find something close to what I want and finish it off. Plus you dont loose as much money when or if you sell.
My other car I bought from my Step father it is a white 1991 lx hatch with solid black interior. Thats kinda rare the white on solid balck. Its a 5 speed car and was 100% stock and completly mint. I gave 3000 for the car only because I promised to never sell it. I once had a kid and his dad knock on my door and offer me 5k for it. It was hard to turn down but a promise is a promise. I am going to leave it fairly stock aside from the cobra-r brake kit, suspension, and alittle mild motor work. Its a nice quite fun car that is reliable which I like.
Good luck with your quest I will keep my eye out for you and send you some good deals if I find any. Where are you Which state and how far are you willing to drive for a good deal?