Anyone have any suggestions on how to keep swim jigs from rolling over when using Craw Trailers? Do I need to switch to a heavier weighted jig?

Try placing the craw trailer vertically instead of horizontally.

You have to keep your craw straight so that it planes the bait correctly or you could have too much bulk for the weight. It could also be your skirt and not the trailer, make sure you don't have a wad of strands on one side or the other. And your weed guard if not straight or fanned our correctly can cause the bait to roll. Lighter jigs are typically best unless you have clear water so I would work with the above before going heavier. My best swim jig right now has hardly any skirt left I've so many fish on it and it seems to swim the best. When I start with a new one it's a process to get it to act right.

Thanks. I will keep experimenting

Slow your retrieve down too. Also, some heads roll more than others. Jigheads that are narrow/streamlined will roll more than a more round or cone shaped jighead. At least that's my observation.

Turn the craw vertically instead of horizontally.

This. Or when rigging horizontally have to make sure it is exactly level.

Heavier jig will roll less... but main deal is make sure your trailer is straight

Pretty much all the above, make sure the trailer is dead straight and maybe slow your retrieve down a little. But might try changing swim jigs all together, I went through a batch of the strike king swim jigs that wouldn't stay straight for anything. Switched over to 6th Sense and Santone mainly and don't have any issues .