Having driven GTM's with pretty much every engine mentioned so far in this thread (including the LSX iron block), I guess I'll throw in my $.02.
First off, the LS7....you might as well plan on $19k at least. By the time you buy all of the stuff you need to install it and get it running, that's what you'll have in it. Dry sump adapters, oil tank, AN hose and fittings, ECU and harness, bracket and accessories, etc.
I've never been all that impressed with them. You can safely plant your foot to the floor at pretty much anything less than 4k rpm. There just isn't much low-end torque there to work with. Even in 2nd gear in a GTM, you won't spin the tires if you floor it at 3k rpm. Good news for the transaxle, but not much for seat of the pants WOW factor.
The LS376 525hp is very similar experience to the LS7....keep in mind it's a year or two between driving the LS7 and this engine, but I came away feeling that you could probably swap the two engines back and forth and have a very difficult time telling the difference. Less than half the price of the LS7.
LS376 is the most drivable of the bunch. Still, at "normal" driving rpms, I doubt you'd see much seat of the pants difference from the above engines. At the upper rpms, the other 2 would probably noticeably pull ahead once they get into their upper rpm "sweet spots"......but for less than half the cost of an LS7.....actually almost a third of the cost....you just aren't going to tell that much difference IMO.
The LSX iron block (Mast Motorsports, FAST intake, 700++hp). Violent, brutal acceleration. Flooring it at 60 mph in 6th gear at under 2k rpm is no problem. Shifting down to 5th at 60mph at 3k rpm is brutal acceleration. Flooring it at 60mph in 4th?.....I wouldn't even think about it. And that is with 345 Pilot Sport Cup tires on the rear.