NL 50

UTG (Hero) opens to 1,25 with 7♦ 7♥
HJ calls
BB calls

Flop: 7♣ T♣ 8♠
Pot: 3,82

BB leads 1,91
Hero calls
HJ folds

Turn: Q♠
Pot: 7,74

BB bets 5,50
Hero calls

River: J♣
Pot: 17,97

BB bets 9
Hero folds

I have no reads on the players and very few hands to post the stats. My question is theoretical, the flop doesn't hit our UTG range very hard. Probably we don't want to raise even with overpairs so overall, we are x/c calling with made hands a lot. If we don't raise overpair, we are raising only sets, so Villain could comfortably folds all his hands that we beat.
On the turn Qs, the board begin to becomes pretty ugly, I'd like to raise here, but I don't know what I'm achieving with that.

Assuming you have no reads, do you have a raising range on the flop? If you have it against unknown, do you have it against regs in general?