1. I prefer the 3H out of FW bunkers and rough and like the 3i for knockdown shots when amongst the trees.
2. With divots, I think it depends on the hybrid. I've only used 2 3H before, a Rescue Mid and MD, and they couldn't be complete opposites. The MD performs better if you take a divot whereas I didn't like to take divots with the Rescue.
Either way though, I get better results with a 3H using a slight descending blow vs. sweep. I recently put the 3i back in my bag because I have a 3i now that I can somewhat reliably hit high. And if I need a hybrid, I'll just choke up on my 2H.