I think this flooring from the Colour Flooring Company could look great. It's vinyl but great colours and finish and cheap Don't think this grey would nec go with your colour scheme but others would (or even white?).
If you're a bit squished for space, why not think about installing your shower over your bath? Rise Digital lets you switch between its showerhead and bathfill at the touch of a button - so you'll get the best of both worlds!