Hello Kingsnake community!

For several months now I have been keeping a lone female Crocodile Skink in a standard 20-gallon tank. The petstore only had 1, and I only found out she was female after she laid some infertile eggs.

At another petstore nearby, I found some "Bluetail skinks) (I believe Eumeces fasciatus, not sure though). They were very interesting little animals but I lack the accommodations for them, since my other tank houses a pair of large land-crabs. The crocodile skink is considerably larger than the blue-tails, but also has a very kind (if somewhat shy and nervous) disposition. Would the Bluetails and the Crocodile be compatible with one another? Or would the crocodile try to eat the bluetails and/or the bluetails try to steal the crocodile's food? (she never displays a sense of urgency; she only eats when she's very hungry and usually when I'm not watching).

Thank you for your help.