bulb pots

I have a lot of bulbs I want to pot and overwinter for my sale next April. Most years that I've potted bulbs I've had no trouble with rodents. However, one year they went through every lily bulb. It happened the one and only year i wintered them in front of the house rather than the back. I have too many to cage, so I'm considering 2 options, both of which have a moisture drawback 1. in the Florida room which has same temp as outside at night but heats up from the sun during the day and faces southwest. 
2.  under the house which I'm not sure would get cold enough
In both cases the pots would not get the moisture from winter rain and snow that would be normal. Do you think I should just go ahead and store them outside with the 450 pots of perennials I have to overwinter? Narcissi, Allium, Ipheion, Lilium, Fritillaria. 

Thanks for any suggestions.

Kitty
neIN, Zone 5 
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