I would pay the minimum payments, and then pay extra on top to reduce the balance, as the minimum payment will mostly be made up of interest.
It is also worth asking the credit card company if they offer loans so you could convert it and pay it off over a set period, therefore reducing the balance each month.
Started IVA 27th Feb 2012 - Due to complete 27th Jan 2018 !!
Full & Final submitted and accepted 30th March 2015, paid 10th April 2015 - 3 yrs 1 month into IVA
Completion Certificate received- 30th April 2015!!