The properties could be 'territory cards' You try to collect all of the same 'territory' and then once you have all the same colors, you can then start to PREACH in those colors.
Instead of building houses, you build little ppl onto your territory. If another player lands on your territory, you read out your card and it might say something like, "If 3 ppl=must pay $100 to cover costs of publications"
Congregation chest could say things like:
"That time of the month! Pay $5.00 to contribution box"
"You forgot to hand in your time, Pay service attendant $10"
"Caught gossiping, pay elders wife $10 because you stole her position as chief gossiper"
"You gave up the back row for a family of 4, collect $20!!"
"You talk got all g's. Wow. Collect $30"
I could go on, but I will stop.
The figurines that move around the board could be 'elder' 'rank and file' 'anointed' 'book study conductor' 'child' etc.
Jez