I would look at wood storage. The baskets just don't take the abuse and dirt....from experience.

Run an image search for storage box/cube. There are a lot of places that sell them and a lot in your size.

Also Hobby Lobby, Michaels and the container store. They usually have a half price sale. I know HB will order in sale items if they do not have enough of what is needed. I bought wood storage boxes with metal sides to replace the baskets.

You might try contacting this woman. She makes baskets and will do custom order sizes, and at very, very reasonable prices, from what I�ve seen. I have been admiring her work and thinking about having her make some special sizes for our house.

Here is a link that might be useful: 1803 Ohio Farm Baskets

I have 3 overhead cubbies in my mud room and these from walmart fit nicely for me. They are canvas over metal frames...perfect for storing hats, gloves and scarves....and they have a space for labels on the front. The handle on the front makes them easy to grab as I am not that tall a person...

Here is a link that might be useful: Bins

I found some baskets at Home Goods for my laundry room cubbies, and they held up well to regular use. I did glue a piece of felt to the bottoms so they wouldn't scratch the cubbies. I had to go to both Home Goods and Marshalls to get enough of the same size, but since they're owned by the same company, at least the baskets were the same.

I've also found lined baskets with wood handles at World Market and their size assortments are quite good. The ones I got there are just slightly smaller in length than what you describe needing. but the linings haven't held up to washing very well, so I need to make new liners for them.

https://www.amishbaskets.com/collections/custom-made-baskets-hand-woven-by-the-amish/products/amish-handmade-custom-basket-rectangle-shape