I would say adjust your reraise size so you can put him all in if you do hit. Professional NLHE goes into detail about SPRs, I am still not too good at calculating them off the top of my head. If you min raise here with the above hands the pot is 16BBs. Remaining stacks are 42BBs so your SPR is just under 3. You can c-bet 12BBs making the pot 40 if he calls allowing you to shove the remaining 28BBs in if you think you are good. You lose a lot of fold equity this way if you think he will be the type to be strung along. If thats the case I think waiting for a big hand and value towning him might be better.