Maybe the Biz pilot corner is not really the right place to ask. Stable rosters are seldom and except a basic 16/14, 1/1, 17/13 there is nothing further planned and obviously no roster published with flights. Try the airliners, there might be big interest for a free logbook solution and rosters are (normally) published monthly.
I use a paid software(once in a lifetime pay, lets see how long that "lifetime" might be) for my electronic logbook which offers some good printing service(which is VERY important for an electronic logbook, look into that), so do many other airliners. Only low hour FO's(SO) are still using a "classic" paper logbook as they need to certify their PICUS hours(by signature of the captain) for their command.
Good luck!