I've never used a bed in a crate. (I have two dogs and fostered puppies for years.) If she's a chewer, I'd be worried that she'd swallow some of the fabric or stuffing.
If she chews but doesn't eat the bed parts, maybe just some cheap fleece blankets (or yardage from the fabric store) if you want something soft for her?
Tara
living a crazy life with 3 boys
I am thinking now
of grief, and of getting past it;
I feel my boots
trying to leave the ground,
I feel my heart
pumping hard. I want
to think again of dangerous and noble things.
I want to be light and frolicsome.
I want to be improbable beautiful and afraid of nothing,
as though I had wings.
~Mary Oliver