Pre bigger, flop/turn is fine, river bluffcatching suppose to be negative and I suppose even having hand like QdQs isn't nice and in general we are hating our life and end up in marginal spot. But nothing you can do, poker isn't always easy

mmmhhh...
i would tend to X this flop usually. Not evensure if i prefer XC or XR with us blocking somwhat bad (as jeff mentioned QQ with a diamond is not that great of a blocker if the pot gets bigger here). But i guess we have to payoff sometimes anyways.
However....I dont think that calling river can be that bad....still some potential blufffs (ragNFD/KJs/KQs/QJs/ even AJ/AQ with single heart or bluffing 8x/9x) in villains range.

These are just my thoughts and I'm by no means an expert so take this all with a grain of salt. I'd be happy to hear what others think though.

Preflop: usually 4x OOP
Flop: A couple of things -
1) Board texture - I think middling boards usually favor pre-flop caller more so your range advantage as the 3Bet aggressor is somewhat neutral now. Out of the BB, you're most likely calling TT and 99, so the nut advantage is firmly with the villain now. Neutral equity + no nut advantage = check more, bet more infrequently and smaller if you do.
2) Position - You are OOP, making it harder to realize your equity, and making it easier for villain to control the size of the pot. This in general means that we should favor checking more.
Check range, and call with AA and KK because they have more stable showdown value. JJ should be a check/raise I think, especially without a heart. QQ I think is borderline and could be a check/call or check/raise without a heart? You also have some suited Tx combos that you can c/r as well. ATs, maybe a few combos of KTs, JTs.

Turn/River
- vs. unknown at NL5, I assume they're not a regular, otherwise I'd have seen them more around. Since they're new, I assume that they're weaker players until proven otherwise, and that means that their range for triple barreling is very value heavy. I'd fold queens personally as an exploit.
- vs a regular, I'd call QQ without a heart.