The only hands V1 might continue with are sets or maybe KK
(I suppose AQ but you hold the A
, so is a super nitty dude really going to invest any more money in this hand without hitting a runner runner boat?).
Based on reads, all effort should be maximizing against V2. If he's a station fish, then a small 3! to $150 sets us up to 3/4 PSB on turn and 2/3 PSB all-in on the river. The drawback to this plan is that unless V2 is drawing to a flush, any
kills the action, so if he will call a bigger 3!, then make a bigger 3!.
btw - I think your plan to check and let V1 bet kind of back fired here. Had you led instead, your range would still be wide and a 3! might be viewed differently than doing it now.