Depending on where you live, the court filing(s) should NOT be affected by either party's non-payment of their attorney. If he continues to stonewall you on this, I would suggest that you call the court and see if there's anything they can do. Good luck!
Ask your attorney for a copy of the papers. You or a friend take them to husband and have him sign them without going thru his lawyer. Then mail them to the family court. You are done and don't need to pay those lawyers to do this for you.