Missing a Sears Credit Card payment in order to lower interest?

We canceled our Sears card over a year ago, well last year we received an offer in the mail from Sears, a pre-delinquent offer, we could lower our interest rate to 0% with minimum payments of $33.00 a month. At the time we were told we could make more, the only down fall was our card would be closed, which it already was. We just finished our last month on the one year plan and now we’re back to the original 23.24% interest and they are now wanting $81.00 a month. We had every intention of making more than the required $33.00, in hopes of paying the card off, but found out, after we were in the plan, that we actually couldn’t, but we were still lowering the balance without paying interest, so we were happy. We have over a $2,500.00 balance on the card, still. We called Sears today and they WON’T lower the interest since we are not in default on the card. They are unwilling to do anything for us, since we have been making the required payments and we have NEVER missed a payment or been late. The gentleman we spoke with suggested that we miss our May payment, and then 5 days after the due date, call and then they could lower the rate and put us back into a low, but not 0%, interest plan for a year. I’m not sure if this is a good idea or a bad one. We can make the $81.00 a month without an issue, but the interest sucks. We’re not in any shape to pay the card off or transfer the balance, or for that matter even pay more than the minimum, not for another year or two anyways. I know our credit will take a hit, but if we can lower the interest and actually pay the balance, not just pay on interest, it would be worth it. I’m not sure what to do, any suggestions? Please no harsh or rude comments, financially everyone is having a hard time right now.