A minimum of $3000 is a good start, plus the cost of the car, another $2500 to $3000 if you buy a good car. IF you are refering to the old carbed LT1 from an old vette.
If you are talking about a new 1990's LT1, then add the cost of a fuel tank suitable for FI and all the hoses, fill tube, etc to go with it (this will run you an unbeliavble $600 or better. The fill hose alone is 100, and yes, you WILL have to replace it, and all the hoses), and of course if you want any kind of traction at all, add the cost of wheels (300-1000) and tires. Don't forget a few details like wiring the LT1, electrical connectors, fuel injection hose and clamps, filters, etc......
Of course, you'll need an R200 rear end, and there is no point in not getting the LSD from an 84 turbo, mustache bar, diff mount, throw in $100 worth of U-joints to bring this to about $600.
Oh, and you'll want a radio, and some working guages, probablty better add another $500 just to get the e-brake working, replace some bushings, lights in the dash, throttle cables, brake upgrades...
So, you can do a basic job for about $6000 total, but if you want your car to be able to use any of that power, you're into the 8-10 grand territory.
Do you have a set of tools? I'll bet everyone here who has done this conversion has at least 5K wrapped up in tools, from air compressors, jacks, wrenches, electrical meters, etc.
Don't ask what a paint job costs. You can easily spend $600 just buying the paint. Forget getting someone to apply it for less than $1000. ANd what's the point of all that power if you don't look good.
The bottom line, whatever you think it's going to cost, multiply that by two. And then add a zero to the right-hand-side.
You might be scoffing at this right now.
You will not be 1 year from now.
Have fun!
Jeff E.