I have a 71 V code Challenger 4 speed, not a shaker car though. Pretty close to your October VIN iirc.
I’ve never seen any registry of them. There aren’t too many around that’s for sure!
Floyd here owns a blue shaker example that might be unrestored. A friend of mine was restoring a purple one with shaker which he didn’t quite finish and had to sell for financial reasons. Lots of restoration mistakes on it sadly.
I remember an orange one with orange stripes with shaker.
Tim Wellborn has a restored barn find condition one, I don’t recall if it’s a shaker.
If you wanted to see a survivor 71 Challenger you should have gone to Mecum Indy last month. Tom Lembecks survivor hemi 71 was there on display.