Lol. Well you can check raise drawy flops when the situation calls for it, the trick is that you were the preflop raiser. And because you were the preflop raiser:
A) Your range contains lots of K's and Q's, and thus people won't bet with their suited connectors, or 77 type hands when you check to them.
B) Giving a free card here to a hand like 9T and having him bink a Jack would be pretty horrible, and a great way to get stacked.
C) Worse yet, when you check/raised, you made it very small, and therefore your opponent is not making a mistake when he calls with any sort of draw. Even a gutshot draw like AT would likely be correct to call your flop raise.
D) Your opponents called you preflop in position. The type of hands that call in position are small pairs, suited connectors, and weaker broadway hands (QJ/ATs/ect.) Those hands don't hit this board very hard, and you might not get a bet very often when you try to trap them.
E) Your opponents expect you to continuation bet this flop with almost all your hands. Thus, when you c-bet, your opponents will call with AQ or other weak hands because you're often just betting worse junk. Or they'll raise hands like AK, because that's actually a semi-strong hand on this board.
But when you check/raise, you are almost never bluffing
, and your hand range is very strong! So if you were the CO, and you have AQ, you'd likely call a c-bet on the flop, but you are certainly folding when there's a bet & a check/raise in front of you. And if I was the button, I might fold AK to your check/raise, but if you just c-bet, I might raise the flop and commit myself.
In conclusion, its not just that the board was drawy. It was a huge combination of factors that made check/raising just a really really bad line here.