Looks like you can play with a fully customised team by using test mode in fumbbl. You have to make or find a team which is about right then use the test mode command line to add and remove skills and add inducement money to by mercs etc (then remove loner). Sounds like a bit of a pain but is an option.
I have also used the Cyanide client to play league games remotely. You have to create an offline team and then edit it with a program that I have a copy of somewhere. Again, not a seamless process and you also have to know how to open ports on your router to play over the internet. I have also written an app that will automatically upload your match results to OBBLM after you finish playing but I would have to check that it still works with the latest NAFLM.