I have various types of rugs (Soumak and wool) on tile floors. Purchased pads from Amazon, locally and online at Rug Pad USA. My Soumak/flatweave has the Superior-Lock 1/8″ felt and rubber pad. You shop by rug and floor type --> click here. I've been far happier with purchased from there than anywhere else.

Can you post a photo? Also, if you have samples of the counters you are considering, can you show those next to the floor? FWIW, in general it can be hard to match anything completely, and often an attempt that is a near miss looks worse than a contrast. Also, sounds Iike you don’t love the floor tiles, so why not go for a counter you love which could complement the floor? Also, one idea in design is to have a focus point and have the other be quiet. So if the floor gets a lot of attention, you might want to balance it with a counter that is quiet. BTW, if you don’t really love the vein-y floor tiles, one option is to go with a “quieter” floor and then choose a counter that is “louder” which you love. You might have more options in countertop materials.

To clean rubber tile floors in a gym, it is best to use a soft microfiber mop or soft bristle squeegee. These types of mops can effectively remove dust, dirt and sweat from sports surfaces without damaging the rubber surface. In addition, when choosing a mop, you need to consider its size so that it is wide enough to clean large areas of the floor in a short time.

Interesting thoughts. I liked the idea of large format tile for a shower because there are fewer grout lines to worry about, especially with well water. But I'm pretty sure I can ease the worry by using epoxy grout. I'm not sure I'll be able to use large format tile for the floor yet as I'm not sure how flat it is until I demo the subfloor. I have such a hard time with Houzz because most pictures are of million dollar homes and they don't translate to my humble bathroom with a tub, not a walk in shower. And when there is something I like, I can't find any tile like it at a store. Our style I would say is traditional/modern. We have wood floors, white paneled cabinets (Ikea Bodbyn) with a white marble backsplash, Acacia butcher block island top, stone on the outside of the house as well as in the living room on the fireplace wall. Just to give an idea. We first ordered a turquoise shower tile (3x8) that didn't look anything like the picture on home depot, they may have shipped the wrong one. With that I figured it would make it easy by doing porcelain white marble look floor. I don't want to do any actual natural stone in the bathroom for installation and maintenance reasons. I regret the marble backsplash in the kitchen already. We do like the dark floor with lighter walls (i.e. Green Hills pictured above) but not sure if that will be too dark for our bathroom.