If I flop second pair on boards like those, I will almost always check-call a 50% pot bet. Second pair definitely has showdown value against a flop C-betting range, and it also has potential to improve to trips or two pair. If we fold, we are folding way to much to C-bets, and second pair is typically not strong enough to check-raise.
Its quite common to then end up folding to a second or third barrel. But thats ok, because it puts the opponent to the test to actually fire those barrel and in tournaments maybe risk a large percentage of their stack. If the opponent has nothing, its quite common, that they will give up and check behind, and then we can get to showdown and be good with our second pair. Or if they check back turn, we can either bet or check-call river on some runouts.
Configuration and exact board texture also matter though. If the opponent opened UTG, I am more excited about having QT on JT7 than on AQ4, because I expect the opponent to have way more AX than JX in his range, and on JT7 I also have some backdoor straight potential.