shallots - how hardy are they?

[bower]

We had light frost last night and a frost advisory for tonight so I pulled my bulb onions and shallots too. This is my first time growing shallots - it's a yellow one from William Dam. The bulbs I planted were large, and the ones I harvested are small, but some of them didn't bulb. I thought these might be the best to replant for next year, but not sure if they are hardy enough to plant back immediately, and there's no bulb to cure for a late fall or even spring planting.
I brought the little shallots in the house to cure, and put the 'no-bulbs' in the greenhouse overnight until I figure out what to do with them.
Maybe I should plant them in the greenhouse, and transplant outdoors in spring?