Hi,
As long as the soil they are in is fairly dry, a "dormant" strawberry plant will not take any harm from cold. In fact our supplier keeps the bare rooted plants we sell in cold storage (at freezing point!).
When the plant defrosts and warms up - it thinks - Hey! it's spring and starts to grow. So these can be planted at almost any time.
The October / November planting is not of cold stored plants, but plants freshly lifted as they become dormant - so there will be no growth till next spring.
Any variety really for baskets or raised "gro-Bags" - we have had success with Red Gauntlet, Cambridge Favourite, and this year with the new Albion variety.
Thanks