I don't know who told you these things are "designed to run hot", they run hot because of a design flaw.
First off - the built-in fan control code is bugged and will NEVER run the fan the fan above 60%, even if it really, really, really should.
It's straight from Nvidia, on their website. The 8800 series has a TJMax of 105C.
They are designed to run hot. The GTX page wasn't archived, but the GT was, with the temp spec. GPUs have been designed with thermal junctions over 100C for a very long time. Should you run it that hot? No, but you can safely.
NVIDIA GeForce 8800 GT
web.archive.org
The bugged fan ramp you speak of only affected some models of cards from some vendors, and it was fixable with modified firmware on some of them. I've had over a dozen 8800 series cards of all types through my hands over the years, and only a small number of them had bugged fan curves that were concerning enough to fix.
Bad fan curves is not a problem that only affected the 8800 series, it has affected cards in every generation. I had an HD5870 and an R9 280X that had bad fan curves. The HD5870 still survives today, the R9 280X died from a PSU taking it out.
Secondly, blower motors are infinitely replaceable. The cooling solution is the one part of the card that if it fails, you can rig up a new one.
If you have a reference card that uses a reference blower, yes. If not, no. You'll be playing the blower wheel lottery, or hours of fiddly surgery to transplant blower wheels on different motor assemblies. Been there, done that.
And thirdly, if you are concerned about thermal cycling, going from 0 to 60 slowly and staying there is a lot less stressful than doing it fast. Also less stressful than going from 0 to 80, then going back down to 60 and back up to 80 multiple times as the card's crappy fan controller bumbles drunkenkly about.
What you're talking about is literally not possible. Even if you crank the fan up to 100% and leave it there, you're still going to have a constantly fluctuating temperature delta between idle and load, and also between different loading scenarios. Games are perpetually dynamic loads that are never the same, and are going to cause temperature fluctuations on the card, 100% fan isn't going to change that.