would you do anything different?

[microtech 0]

Ok here is a hand and I would like input on this to see if I could have done anything differentI get 8 8 in middle postion in a $25NL game. There are no callers up to me and I raise to 3*BB. All fold until one before button who raises $2. Since I have sat down I have seen this player raise little amounts with big PP and larger amounts with AQ or K I figure that this is possible here in late position. Flop comes 5 6 J and I feel the flop is good for me. I lead out with $6 into $5.80 pot a little scared of the flush draw and hope to push him out right here. This is where I think made the mistake. Do you lead out here with this amount to try and push him out or go smaller to get more info?