Hand Reading

It's obviously very important to put your opponents on a range of hands. However, when you're playing in a shorthanded (6-max) game of NL holdem and your 5 opponents are seeing the flop at a 55%-85% rate and going to showdown at a 35%-50% rate how do you do that? When you're finally in a hand for a raise and 4 people call your raise cold how do you even begin to put your opponents on a hand? How do you proceed in that type of situation. Do you just close your eyes and shove your chips in on the flop when you flop 2 pair or better? TPTK or better?