I did use your range in my thinking. However, I consider your range to be an estimate. I don't think 22 - 99 means mathematical 100% certainty that he always flats 99 and similar certainty that he always raises TT. I interpret it is your belief that V is likely to flat 99 and unlikely to flat TT. Similarly, I don't think we can be 100% certain he calls with T8s and 100% certain he folds 97s.
I believe that the description of V as a nittier TAG contains information vital to selecting the best course of action throughout the hand -- not because of information about V's starting range (which is obviously redundant with information specifically provided by the range estimate) but because it contains information about how he plays that range and therefore what's left in it by the river.
When I said TT+ above, I should have said all hands better than ours. I think TT is unlikely to be in that group, but not impossible. My apologies if that made it seem like I was ignoring the initial range estimate provided.
Initial range estimate is:
22-99
65s - QJs
KJs - T9s (sic) I'm assuming this is actually meant to be T8s
runout is: 9
6
3
7
3
V folds at least some of his range on the flop (I'm pretty comfortable that at very least 22, 44, and 55 are folding). If V will continue with middle pair or better, OESDs, gutshots and overcards, that's just over 75% of his range. I think that's probably an overestimate, but not ridiculously so. Almost every hand in this range has some added value -- backdoor flush or straight draws, pairs, gutshots, overcards, etc.
The turn card improves many of his continuing hands, making 2P or adding OESDs. If we assume he'll continue only with TP or better or an OESD (all of which also include a pair), that's just over 70% of his flop hands.
The river is a blank that counterfeits his 2P hands. He now has 38% straights and sets, 24% TP, and 38% nothing. Best case, a bet get folds from all the zips, and calls or raises from all the TP and better hands. When we're called, we're behind 38 / (38 + 24) = 61% of the time. Assuming V raises pretty much only straights and sets, we have to fold to a raise. If V adds any bluffs to that, it makes the bet worse.
I think that's a clear check behind on the river and that further betting is just spew.
Note that if V continues more tightly than I've posited above, his river range becomes stronger. I think it very unlikely that he continues more loosely than I've posited. Nitty TAGs don't call bets OOP with nothing very often.
I haven't done the detailed analysis, but I think adding more hands just outside of your range isn't helping. Adding TT obviously hurts, as do 97s (better 2P than ours) and 54s (another straight).