I instruct for Audi club North America, among other organizations, and have not owned these three but have a fair amount of exposure to them on track.
GT3RS is my vote as it is going to be more reliable, more livable, more dealer support, better resale, cheaper repairs, and arguably at least makes you look like a better driver on track than the others.
720 is an aural experience that is different but not great for daily use and lots of mechanical issues that are expensive to fix and less dealers around.
Hurrican is not in the same league as the other two on track and may draw more attention around town than the 911 which may not be a good thing unless that’s what you’re looking for.
If I were getting one for free it would be the gt3rs hands down. But around here they are going for $400k so that’s not going to happen.
But for $250k you can also go get a ZR1X and hurt the feelings of all of the above on track.