This is too risky and not sure if this will work out in this volatile environment as what you are planning involves money from a group of people and you will be held responsible if things don't go well because most of them might not invest small amount due to the transaction fee as you have already mentioned and there are some people who might be concerned about their anonymity as well. Anyways all the best with your project but please do give it a second though to eliminate the risks and start with a small group of users like your friends and then grow the group gradually if it works.
I don't want to touch your money - it's simply a bunch of people who say "hey, I'm buying BTC every month". I'll update OP to reflect that better :-)