Decks, Patios, Porches and Docks - Replace outdoor carpet with ?????

The previous owner of our house installed a 26 x 14' deck, with a plywood flooring surface covered in green outdoor carpet similar to the putting surface at a miniature golf course. We really dislike the carpet surface because we have 4 dogs, and it accumulates dog hair at a ridiculous rate. We're considering what we might replace it with. We would prefer that it not collect hair, and be easily washable.

We're open to all types of surfaces. We've considered outdoor tile or stone, but aren't sure how to determine whether the deck can support the weight. We've looked at things like interlocking rubber mat surfaces, but it looks like those get pretty expensive. We have so many projects on the list that we'd like to keep the cost down on this one, but we'd probably consider spending more for something we'd really like for a long time.

Recommendations?

Would it be possible to remove the plywood? Most likely, they built a deck with proper decking and laid plywood down on it as a substrate for the carpet. If it were removed, you may have a washable surface again, that will drain below. If the plywood is the only stratum, maybe you could remove the ply and deck it with a composite decking material, allowing for a washable, cleanable surface.

Well, the plywood is the only deck material. We had looked at replacing it with normal deck boards, but our handyman was concerned about how it would work with the support columns and the supports for the built-in bench. It's possible we might still be able to do that, but based on his input, we were looking at keeping the plywood, rather than replacing it.

If you choose to install tile, don't forget the layer of 1/2" concrete backer underlayment that has to go down first. Do you have adequate space above your present plywood to install the cbu without it interfering with door movement in the house?