The Corp I'm in consists of me plus 5 RL friends so we don't have this problem, tax is set at 100% 1 week a month, and all missions run are their to replace corp overheads, like offices and POS fuel, after that/when we have enough its at 0%.
We each provide capital from our various careers in EVE, the trader has access to this pot and plays the market.
again about once a month, when the funds get up to about 10-12 Bill mark, we will take half, divide it by 6 and do a pay out.
We have an indy guy who will provide us with any T1 ship we wish for PVP in return he is exempt from ISK contributions, but still gets the pay out.
We have a research and PVP person who is just starting to trickle in some T2 good which is nice, a couple of miners who bring in the raw materials for production, sell off the rest for ISK, they donate about half of their loads to Corp for use in ship building and for market supply, and the rest is their own.
We have 2 total PVP and 1 part PVP player who run missions for Corp ISK and own isk, but also fly alot of CAPS for the miners.
I imagine we are quite unsusal for a Corp, but we all work together, we are all pretty wealthy because of it.
Point is what ever works for you guys... The Fairest most transparent way is always the best.
Transparency, need and communication always.
If you are a mining corp, I suggest you say we want 1/3 of all ore you mine, or ask for 1 or 2 ops a month to go to Corp for Overheads.
Point is pay off your debts as a corp any left over profitability can be returned to members as lotteries for ships or to go for other uses. I have found players don't mind giving their ISK to corp as long as A.) there is clarity and transparency about what the money is going to be used for. B.) you ask their opinion and ideas on what you want to do.
If there is an objective people don't mind diggin in their pockets either.
for example you are a mining corp and you are currently getting 1/6 of all ore sold for corp funds, just for overheads and a simple Ship replacement program.
You decide as a Corp that mining operations would be far more lucrative for all if you had an Roqual. You have a few pilots who could fly it if you had one, so you decide to buy one as a corp that can be used on mining ops.
For this you suggest that you wish to raise Minerals given to corp to say 3/4 for 2 weeks of the month until you can afford to buy the roqual.
You have a seperate division wallet set up, and give access to all members to see the pot, then 3/4 less 1/6 of all ore mined is placed in that wallet and everyone can see the goal, and how well/bad the corp is doing. Said corp would be able to afford the Roqual in a couple of months no problem.
Transparency, need and communication!
Other way if the corp is a good/well known corp and offers services to members like SRP or alliance membership as well as organised FC operated ops, it is not unreasonable to ask for membership from players. If you are seen to be making a profit or flying around and losing dramiels regularly though this will come back and bite you in the posteria.
Good luck, hope some of these ideas help.