R32/OP - r7 here - you're welcome. I should say - yes, obviously hardwood floors look great, but to do a whole house would break your reno budget, which is why I don't recommend. Second, since you live in the desert, most homes did not come with HW floors, so if you're going to put it in, you're going to have a headache with the increased height of the floors. You'll most likely have to cut the bottoms of your doors to make it fit, plus the transitions from each room will have to be redone and closet doors won't close properly, etc. etc.
If you're in the desert, you really need to get tile or LVT for its cooling properties. If you like a marble look, I would definitely go for porcelain tiles instead, which mimic a marble look at a fraction of the price.
As others have mentioned above, there is very realistic looking wood-grained tile, if you want a warmer look.
I presume you may be in Palm Springs, where we also have a house. Terrazzo is extremely expensive, but common in PS mid-century homes. However, I don't think you need to be a slave to that trend. There are some terrazzo-look tiles that are much cheaper, but you really have to be married to that look. I don't like it personally and I think it's too cookie-cutter and expected, plus the price is just eye-watering.
Be aware that, in the desert, you will get frequent dust/sand blowing in. It all depends on how much you keep your doors open. Our main door opens into a courtyard by the pool, so we leave our house doors fully open (for the dogs) 24/7/365 and we get some dust and sand blowing in. And we live on the south side of Palm Springs, which has significantly less wind than the north side.
I'm saying this because all white tile may be a bitch to keep clean, depending on your house setup and where you live/how windy it is. Many homes have all white tile, which looks very modern and sexy - but just be aware of upkeep. On the flip side of that, tan/earthen tone tiles are very common and don't give off a high-end impression, even though they may be the most practical.
My vote would be a lighter-shade wood-grain ceramic tile, which can hide some dirt but gives some warmth and is easy to clean. I would stay away from the grey-shades as we've already hit peak greige in design.