Help needed on a hand

[CalPolyKid]

The game is $1-$2 nlhe with a $100 max buy in. I sat with $100 and this is the first hand dealt to me although I have been observing the table for 10 minutes prior. I am also a regular at this particular casino and am very familiar with the EP limper. Im on the button with the 5h9h and limp in after 1 EP and 2 MP limpers. The big blind checks his option. The flop comes out 5s 5c 6s and it checks to the EP who bets $7 it gets folded to me and I call because I know this particular player is tricky but tight preflop and most likely was slow playing a big pair. I know that he is capable of laying down AA-KK in this spot facing a raise so I figure that the best way to get money in the pot is to let him take the betting lead. The big blind them surprises me by check raising to $20 and the EP limper calls. The big blind was an inexperienced player and I was certain that he also had a 5. I also knew that the EP limper had either AA-QQ or a flush draw. Not wanting the EP player to draw, I knew that my option were to fold or raise. Being that he was the big blind he could have any kicker to his 5 (I am certain he would have played any 5 this way and would not lay it down no matter if he had a 2 kicker). I quickly figured that there were exactly 5 hands that he could have that I could beat and 5 that i couldn't, thus since the pot was big enough to make it correct to take a coin flip I pushed (it is an overbet but I knew that once I committed myself here I was never going to get away from the hand). The big blind calls and the EP player folded AA face up. BB had A5 and no miracle happened for me.

*Note: It is my style and norm to limp with hands such as the 59s in this particular situation. I know many will criticize that as the reason I lost this hand, but please try to overlook that. I am a winning player at the stakes I play and have no plans to change my preflop play. If this is simply a circumstance of me playing this style then I can live with that. I'm more interested in seeing if anyone sees flaws in my postflop play.