Actually I think you can get there, with your $3K budget, assuming you put it all into power enhancements. However your transmission will not last but a few weeks, and engine meltdown will soon follow.
More realistic:
$3. 0K - transmission Upgrades
$1. 2K - Camplate, AFC Kit, 4K Gov Kit w/ 60# springs, 370's, and delivery valves.
$4. 0K - 4" Exhaust, Air Intake System, PDR HX40 or bigger turbo, cat-be-gone, Cam, Head
( Cam and head are optional depending on power level, reduce by $2K )