I remember watching an recording session with the rolling stones at I think at Columbia. ??? but I cound be way off on that.
Anyway they had a wood board cover over the top of the kit. drum kit.
and if you have seen any early Hen house videos they had moving blankets in closing the kit.
That sad I No this... you don't want to pick up the room (Church space) there are too many things tat can go wrong. You need some try of barrier around the drums. list your mics and I or others as well can create a setup template.
Next they may have those portable coat racks on wheel... I would use them filled with coats or hang blankets on them. The main Idea is not to keep the drums in , its to keep the reflections getting to the mics. First behind the drums to start. Then the sides.
You know that in the mix if the delay is bad you wont be able to mix the drums into the mix.
if you have some gobos... I bet
if you want more ideas or help.
Maybe this will be of help to you and its just my two cents... sounds like fun! Good luck!