Okay, so here's what I've come up with for now. I bought a 10" cast iron frying pan with a lid, then I bought a cast iron trivet.
To try it out, I put the pan on the stovetop, wrapped the trivet in aluminum foil and put into the frying pan. Then I put the the biscuits (made with bisquick for this experiment) on the trivet and put the lid on. I adjusted the heat to about medium-high and the biscuits came out pretty good.
One thing I found out though, you need to grease the foil to make sure the biscuits don't stick, something you don't normally do if making the biscuits in the oven.
I would have put up a photo, but I ate the biscuits before I thought about it!