The 5.3L & 6.0L motors can be found easily. I know that the 6.0L can be identified by the 6.0L stamp on the block. Most of them are the lower compression LQ4's
You should be able to find one complete with harness for less than $1500.
Sounds like a cool project!
No more trucks, but this is what I used to have. 2000 GMC Sierra, 6.0L-LQ4, Built 4L60, LS6 Cam, The Other Guys Headers, 3 inch exhaust and 7 chamber flowmaster, 43lb injectors, Nelson Tuning, Drop - 3/4 McGaughys Spindles, Bell Tech Shackles & Hangers. Best time 13.59 @ 106