bad EP situation.

[SA-Bishop]

I am in the BB and see a free flop with 4-6s. About 6 players saw the flop. Flop comes 4-8-8 and the action is on me.

My feeling is that this hand is completely worthless. Betting into 4 players will not make everyone fold even if nobody has a hand. Virtually any card that can come hurts you, and you do not have position. I just saw this hand and bet out with it...but felt like an idiot immediately after. Is there any value in this situation that I'm missing?