We "winter" at Dauphin Island, Al....which is zone 9a (or so they tell me) and there are a "few" TB's that I see...mostly older cultivars, and about 1/2 of those, I believe, are "Coronation". Anyway, for the 11 "winters" we have been here...I've seen bloom every year but 2 (so far).
My *guess* would be...if you dig and store(or chill, or whatever) the "set back from being dug, and then re established would prevent the likely hood of bloom, in an area that is already "marginal". Leaving them in the soil...in a big pot....might work if you find a way to cool the pot!