My understanding is that a disc problem will not normally show up on an x-ray.
Besides anti inflammatories, did the vet recommend strict crate rest? If the dog is feeling better because of the inflammation relief, but is not actually healed, it can make the problem worse because they will do more than they should.
I would seriously consider a second opinion from a vet experienced with bassets, or at least with dwarf breeds. Maybe your breeder or local basset hound club can give you a recommendation.
Besides anti inflammatories, did the vet recommend strict crate rest? If the dog is feeling better because of the inflammation relief, but is not actually healed, it can make the problem worse because they will do more than they should.
I would seriously consider a second opinion from a vet experienced with bassets, or at least with dwarf breeds. Maybe your breeder or local basset hound club can give you a recommendation.