I think it would be pretty simple, offer to make up your missing years of consecutive membership by simply back paying for a non-ticketed membership of those missed years. Would work out to be about $75 a year.
I think there should be a limit though, maybe 2-3 years max
I missed a couple of years a few years back and tried to do this. The club told me it wasn't possible. Even offered to make a donation to the value of 2 years full membership to the JD Foundation. No dice. Had to start again.