I like the 3 bet with this hand in this spot sometimes not often. I would like to have some history or time at the table to decide. Once it goes 4 ways, I try to be cautious. With that said, good flop.
I am not a fan of "making people fold" hands when they have the lead when you "know" they have a decent hand. Their mostly likely hand was AQ/Qx when they lead. Rarely Axclubs bc you have the club draw. You 3bet pre he called. He bet 50% pot on flop into you & 2 other people. Personally I like calling flop. Yes, sometimes someone will shove on the back of you but I am ok with that. Most of the times, even if you flat flop & turn your investment is $120-$150 versus risking your stack. If on the flop the Q is lets say a 8/9/T, I would be more likely to raise making it $110 to go. This gives me the same investment (22+110=$133) & I am getting to the river often.
I try my best to take the less variance line in these spots.