The new generation of LT engines by Chevrolet are pretty light, depends on the version and if it has the iron or aluminum block. With the iron block and aluminum heads the weight should be comparable to the Ford 302 with aluminum heads. The Buick/Rover was and probably still is the most popular choice because of it's light weight, actually lighter than the original four, and the fact that it was the engine used by the factory when they built the GT V8s. If you are considering buying a crate engine, the they all are going to be expensive. If you're going for a "salvage yard" enigne then they should be fairly comparable, but the Rover might be a bit more expensive since they came in "expensive" cars and the salvage yards tend to charge more for those type of parts than say for a Chevy engine.
A lot depends on what your experience level is as far as electronic engine controls goes. If you're well up on that then the modern Chevrolet engines would be fine, but they have to have the computer controls and can't be retrofitted with conventional carbs and ignitions. The Ford or Buick/Rover can be retrofitted with conventional distributors and carbs as well as the GM V6, so if you're not well versed with the engine managment computers I'd go for one of those choices.
For someone on a limited budget and with limited experience with engine control systems my vote would be for the GM 3.4V6 from a Camaro along with the T5 transmission. You can install a distributor from an early 2.8 S-10 truck and have a conventional ignition system and an intake manifold from Classic Conversions for a standard Holley carb. About the cheapest way to go and you know that there are step by step instructions as well as plenty of support along the way. I have two friends here in KC that are doing just that in early body cars. I don't think you will be unhappy with the performance and the weight is reasonable for the suspension.
If you don't have to have absolute maximum power IMHO the V6 is the way to go for a great handling and driving car.
'73 Midget (V6)
'59 MGA (I6) under construction
'73 Lotus Europa
'52 MG TD kit car body project.
'98 Jag XK8
"There is a fine line between a hobby and mental illness"