Winter storage is always a gamble. First, plants can and do die; it happens, even in the best of circumstances, so accept it as a fact of nature.
The issue now is that we are pretty late in the growing season, so the plants have shifted into flowering mode from growing mode. Putting them in the ground is going to stress them; early in the season they put on more foilage and root growth, later in the season it is all about flowering cones (the cones are technically flowers).
To me, the best course of action would be to leave them in the pots for now. I would not bother to try to harvest anything either, unless you can get it without cutting down the bines. Leave the bines up, growing, and storing energy as long as possible. Once it gets cold enough to wither the bine, cut it off at the ground and put the pots in a sheltered location, like an outdoor shed or detached garage. You can bury the pots in the ground too.
Once the freeze threat is over next year, pull them out in a sunny spot and see what grows. Hopefully all will sprout back, but if not, well, that's gardening.
Also, be prepared next year to get everything set up and planted once the weather isn't terrible. Personally, I prefer raised beds because they look nice and contain the hops to some extent.
Next year, I would let them do whatever they want - let the plant do its thing. In year three you can trim the bull shoots and focus on getting a good crop.
Gardening with perennials is a long game.