travertine

Hi,
I am currently trying to redo my bathroom and having some difficulty with stone selections.  We are removing the tub and putting in a walk in shower - so we were looking to use a natural stone (i.e. travertine) throughout with a touch of slate for contrast.  We were hesitant to use granite/marble since they are slippery and using them in the shower would definitely be dangerous.  So, what are your thoughts on using travertine for the shower & bathroom floors??  Do you have any recommendations for a different stone or combination of stones??
Thank you so much for your help!!
Leah