OK, we have a solution.
My co-captain doesn't want to raise the issue with the team. She believes it might not be received well by everyone and would thus be more trouble than it is worth. (In reading the divergence of opinion on this thread, I tend to agree).
She is going to pay for an extra two matches, and I will do the same. That will offset the cost of two matches for each singles player.
It isn't fair to us, but I guess paying $36 to get rid of a potential hassle is a bargain.
-- Random Error Generator, Version 4.0
-- Master Moonballer