It is doable with $3k just look for a used B&G, ponydown or HP kit (personally I prefer B&G). Anything from a 62mm to a 70mm should work really well with a stock motor. Masterpower turbos are a good choice for budget builds
Also keep in mind that part of your budget should go to upgrading your fuel system (pump and injectors) maf and getting a tune.
Just look around, there are a lot of very good deals on the web. Any other questions just ask