If you are set up for monthly payments, at any time you can pay the balance in full by credit card. So you can pay monthly for a few months, then pay off the balance with a credit card at any time during the year.
You may also be able to make partial payments by credit card. (I say "may" because I know you can do this with a gift card, I'm just not sure if they will do it with a credit card.) It won't take the place of your regular monthly payment however. It will just lower the balance due causing you to be paid in full earlier in the year than usual. For example, say your dues are $100 per month and it's mid March so you have already made three monthly payments. You call Member Accounting and make a $200 dues payment by credit card. You will still be debited for your April, May, etc monthly payments but as of the October payment you will be paid in full for the year.