When we were a three part crew we did 3days, 3nights, 3 off. But we are a 24hour on duty EMS aircraft. So we had someone on from 6pm-6am.
Being as most people are in violation of the FARS by not starting their duty time when they go on call, I am sure there is just one guy scheduled per day, so that schedule wouldnt work.
My only concern would be how you are paid. There are advantages and disadvantages to bith hourly and salary. If you are paid by the day or duty hour, then the othe two guys may work all they want and leave you with scraps, being the new guy and all. But if you go salary, you could end up like a bunch of my friends. They work for a guy who operates a small fractional and has a few planes on a 135 ticket. These guys are worked like borrowed mules. They are NEVER home and have no chance at making any more money.