I can’t think of any modern carbon frame that has a threaded BB at the price range your talking about (which clearly limits your choices).
The Colnago C60 uses a hybrid BB, with proprietary threaded cups that then accept press fit cartridge bearings, but that’s about three times your budget.
My Condor (Leggero) has a press fit BB30 and it’s been fine; no creaks no issues. I think that merely suggests that the creaking issue is more about the frame than the BB specification.
I’d never suggset you don’t buy a new frame because what’s not to like about buying a new frame, but I would suggest that you make your spec list ‘I want something that doesn’t creak’ rather than ‘I want something with a threaded BB’.
That said a Genesis Volare 853 would do the job as would a Condor Acciaio (the Super Acciaio should also be considered as a good example of my point above. It’s BB30, so press fit, but it’s in a steel housing so the tolerances are likely to be better and less likely to creak).