Yeah, we have the 3rd nuts here. There is only 1 more 8 in the deck, 2 more Ks, and only 6 combinations of AA. I've seen A-high call here. Any pocket pair that called you on the flop and turn is calling you again on the river, including someone with a 5 as iopq pointed out.

Not betting this river would be terrible. The fact that you ran into quads sucks, but that was a one-time thing. The next time you follow this line and villain calls you on the river with 44 or raises with 9d7d or 3s2s, you can smile and say, "Wtf? These players are that bad?"

Your river bet was pretty good since it allows a player to bluff shove over you and think you might fold. $0.55-.60 would work just as well, though. I'm not sure how often these guys are bluff-shoving the river, anyways, so betting like $0.75 or even more against a total station could actually be more profitable overall.