I can't speak for other churches but here's how the CofE manages to fund its infrastructure asset management ...
My kids went to our local Junior School which was a CofE funded school dominated by the vicar from the church 500 yards away (his wife was the head), in the first year that my kids went there our business accountant had himself volunteered to be the Parent/Teachers Assc accountant.
This was a school that had been built in the early 1960s and had been expanded several times by the addition of several of those "temporary" wooden classrooms which are actually not very cheap to build and which often turn out to be a lot more permanent than originally planned.
Several times a year the PTA organised functions for fund raising for the school and at one of our business meetings with the accountant I asked him how healthy the PTA budget was and what did it get spent on being as the kids (in the 1990s) only had one computer per classroom to share, his reply surprised me.
The fundraising every year was purely to pay for the loans on the various temporary classrooms and with a few more years and a big push towards the end he was very hopeful that within his tenure the PTA would actually manage to pay off the last loan on behalf of the school.
Which got me curious, so I asked which bank the loan was with, it wasn't with a bank it was from the Church of England, so of course my next question was "Who will own the classrooms when the loan is paid off then, the PTA ?", no of course not, the CofE owned the classrooms, they were part of the asset sheet.
So just to tie all this up, the Church of England owns the school and owns the land that it stands on, within a few years it desperately needs to expand its premises and so the CofE lends the CofE School fund to expand and then the CofE school gets members of the public (who are indirectly also funding the school through the local council funding) to pay back the loan to the CofE and all the while the buildings remain assets of the CofE.
Thats bloody smart business practice is that - thats like taking out a mortgage on your home and then having bring and buy sales every month to get your neighbours to pay it off for you.