If I'm putting in a 3/8 UHF or 3/4 NMO hole plug and it's going to be permanent or semi-permanent, I put a small amount of clear RVT under the edge of the plug before pushing it into place (make sure you degrease the suface around the hole well before installing). If it's going to be temporary, I put silicone grease under the edge of the hole which keeps the water out, but leaves the plug easily removeable.
I know I've seen plugs for ball mounts in use, but I've never needed to plug a hole that big, and I have no idea where they can be obtained.