Nagh…not a good choice at all. The entire bottom will rot through if a good moist substrate of any appropriate kind is used. The weave of the willow is like a sieve….all the necessary moist (humid) warm air will quickly escape.
Get a plastic tote storage box, one with tall sides and the biggest available. Anything too small and you cant give proper areas of temps. Everything needed will take up too much walking space and they need to br able to build muscle strength. They need a closed chamber to keep in humidity and keep temps stable.