I don't think there's anything another party could do. (You could try and convince someone to have enom transfer money to you, but that's about it.)
The enom reseller above you could renew the domains if they have money in their account if you worked out payment arrangements with them. Unless you knew for sure though, you'd have to get enom to tell you who is above you.
You can overnight them a check. Check's seem to post fairly quickly, and there's no fee to add money that way. A money order might entice them more.