10k budget is pretty high. If you keep your wits about yourself, you wont spend over 5k.
If you can do the work yourself, and stay away from shiny things that take your money.
where are you located?
4.8/5.3s are roughly $400 in the junkayrds by me, complete, minus AC compressor.
4l60s are about the same, usually cheaper, but, no matter what, tke the 4l60e and have it rebuilt with performance parts. This will set you back around $1500. If you dont, you will break the 4l60. have it built to handle power right from the beginning and have zero issues later.
And what is a driver compared to a drag truck? there are 7 second 1/4 mile street legal drivers out there.
you obvisouly want to race and mess around, otherwise you wouldnt want a V8.
make a list of what you want, and we can help more.