I missed that you already have an adapter, looking at pics it appears some types could take a helicoil. The one posted above appears solid metal, is yours like that?
Kits are about $40 with tap, drill bit, inserts. You might get away with clamping it to a bench and a hand drill, and vise grips to turn the tap, drill press and tap handle would be better. If you aren't confident cutting threads, it might be worth paying a shop to do it so you don't have to buy the tools. I can't imagine more than $100, probably a lot less depending on where in the world you live.
Running the die over the stud on the tripod doesn't sound like a good idea to me.
Just running the fine thread tap down the adapter also doesn't sound great.
I have worked in a machine shop, and cobbled together a lot of parts on a 69 beetle, with varying amounts of jb weld, but threaded insert is the right way to rethread a hole around the same size.