Can't use tubes in Weld Wheels Draglites?

Good morning all!

Need some opinions on this one.

Bought a new pair of Hoosier 32X13.5X15 slicks along with new Hoosier tubes. Rear wheels are 15X14 Weld Draglites. Took the wheels with old Hoosiers on them, along with the new tires/tubes to a local resto/performance shop to have the new tires/tubes mounted and balanced. About an hour after the new tires/tubes were mounted one of the tubes blew. Figured I may have gotten a bad one, so I ordered a replacement. Took it to the shop this past Saturday and it blew almost immediately after install. Not at all happy about that as I was now out over $200! Guy at the shop said it was probably his mistake so they would get me a replacement. They call me a short time ago to now tell me that there is some issue with the wheel and that the tubes won't work in them. They also told me there were no tubes in the old Hoosiers that were replaced.

Has anyone heard of any issues running tubes in Weld Draglites?

Apparently I ran all last season with no tubes in the old tires. Is it safe to run Hoosiers without tubes?