I had an early B&C stock that glass bedding wouldn't help. The webbing area was so soft, it would change zero after 12-15 rds.
I won't have a rifle that won't shoot it's zero when used with a shooting sling. Usually, that means a free floated barrel, but I have a custom .280 Ruger tang safety model that is full lenth bedded that shoots as it should.
BTW, plastic stocks are usually worse for use with a shooting sling than are wood stocks. But quality fiber glass stocks are best. The above Ruger, for instance, has a McMillian stock with extra graphite.
I do have one rifle with a softer plastic stock that shoots well with a shooting sling. It's a Springfield Armory M1A. What works for it is the Safari Ching Sling. It pulls the stock down instead of to the left like most other shooting slings. E