The ramp/stairwell/thing where the handle was attached I tack welded a piece of scrap stainless to the back of it. While most people don't have access to a welder, you could silicone on (food grade silicone) anything you want that could withstand mash or boiling temperatures depending on what you use it for. You could probably pick up some scrap stainless plate from your local metal shop for free, or fine mesh, thin copper plate that you could get from your local hardware store, cut up a silicone hot pad, etc. Just get creative, it's not structural so as long as it keeps the grain/hops out, you should be good to go.
My burner's natural gas, which isn't as hot as propane, so that may be one of the reasons it doesn't scorch? Yeah, if it's one of the splatter screens, I can see things getting clogged up with hop debris especially if using pellets. I'll see if I can check out a false bottom at the LHBS and see how it compares in size to the splatter guard from OXO.