I think you might be overestimating the play at the 11's. Personally I don't ever raise with JJ's unless I'm in late position and it's folded to me (which almost never happens). I would fold this hand because I've been running into alot of higher pocket pairs. With the raise the thinking is that hero can't fold after that raise and has to call my KK's AA's. The only problem I have with this hand is that I limp and then call a raise of about 4x-5x bb which is the worst thing to do.