I used a two prong approach to solve the same problem. First I searched under every leaf and mashed all the clusters of eggs I found. Small brown round eggs laid in groups between the veins of the leaves. Then I sprayed all the squash bugs I could find with a dawn dish soap mixture. I believe it easily kills the young freshly hatched bugs. The larger adults I would stop and mash them individualy, not being sure they would succumb to the dish soap. I would suggest you do this in the morning before the heat of the day when they may hide in the mulch. I have read in other places that would suggest you not mulch as it gives them places to hide, but the heat of Oklahoma does not give me that option.