Take a look at travertine in a light ivory. It seems to go with everything. I have travertine on my bathroom floor, shower, and tub deck, then used crema marfil marble for an accent. It looks serene and beautiful! If you use the 18" travertine tiles, cut to 9 x 18 for the tub surround, there won't be that many grout lines. Get the installer to use "butt joints" in the tile so the grout lines are just teeny.

Another alternative would be to go with a black and white theme.

Sounds pretty! I would use solid white on the tub deck and not the "marble looking" ceasarstone. You don't want them competing or contrasting.
With all that white, you might want to consider a darker floor. The new porcelain plank tiles that look like wood are quite lovely. A dark brown would be stunning. Or a solid gray tile in a rectangle looks good.
Look at houzz dot com for bathroom inspiration. I've seen tons of carrara baths in their photos. Good luck!

Thanks for both input. I think I like the solid white idea with a dark floor. The only thing I worry about is the white may not be the same white as the tub. I'll bring a piece of the engineered stone to the plumbing store to match. Thanks again.

Limestone would work with marble but be careful when pairing these two products that the limestone isn�t too creamy. Look for whitish limestone when using white marble. Not sure I would want to mix three different products in one room.