Why is that a bodge? In certain engineering trades, being able to make turnscrews and other similar tools was part of the training.
I can understand you not wanting to spend "a lot" of time making the correct fitting driver, but I suspect you have spent longer asking about it on here than it would actually take to make!!
Given you have a screw to work from, ten minutes with a Dermal and a couple of needle files should produce something that is very professional looking...
All agreed - the exercise is rapidly approaching the point where repairing to the workshop and wielding the angle grinder may be the only way forward.
The thing is, half the time anything I hit with a grinder does end up looking rather like a bit of a dog's dinner - hence why my preference was for the real tool if at all possible. I'm sure the church couldn't give two hoots what any tool might end up looking like (but I have my professional pride...)