you definitely can design around the blue tub…..would look really great surrounding the tub to use some ceramic tile that has pale aqua colored glass inserts in a mosaic pattern.
Id paint the walls with a white color that has just a hint of blue/grey in it. use stainless steel for all your hardware—doorknob,cabinet handles, towel bars, light fixtures etc. There is a great ceramic floor tile that is made up of small white and blue pieces in a mosaic pattern. Towels could be white, grey, turquoise, aqua.

You could resurface it…. or… create a beautiful spa bathroom with lots of white, sparkling blues… and a touch of black for some drama !!!!

sure you can also have it painted white by a resurfacer for about 600$