[yota]

There is no such thing as an ls1 car going for under 2k in any sort of drivable condition... Hell, the drivetrain is usually worth more than that. For under 2k, you are probably looking at a pre-98 v6 with high miles and lots of wear, if you can even find one. I got damn lucky buying my 99 TA for what I got it for and it was well over 3x your budget. My suggestion for your price range would be a decently well kept small fwd car or a small pickup to be honest