are the puckers on the top and the backing or just the backing?
wondering because sometimes the back gets creases, wrinkles quilted in if it was not taut- but that is fixable without all the (ripping) if the top looks ok. you can just put a different back on it- it will have an additional layer- and perhaps just do some simple stitch in the ditch in a central area and around the outside- you would not need to really re=quilt it- just enough to keep it from (ballooning)
if the top has the wrinkles too- that may mean removing stitches-
good luck= i had this happen once but luckily caught it as soon as i turned the quilt and i stopped right then and removed it all- it took A LONG- LONG TIME to remove the quilting in just an area about 14" wide and 110" long.