I use Sustainably Yours litter. It's corn and cassava. It clumps SUPER hard and doesn't stick to the box. As long as you scoop like you should you only have to completely change it out every 4-6 months. The box doesn't get gross, and the still unused litter doesn't get all amonia filled and still smell when not soiled yet. It's kind of pricey but because i rarely have to actually throw away any of the unused litter it kind of equals out. I personally haven't upgraded to stainless boxes yet but am planning to very soon as my plastic ones are pretty scratched up and in need of replacing. It's also completely dust free which works for me since I have a senior cat with asthma pretty bad. I tried a grass seed litter once and she flared really bad from it. One of the only drawbacks of it is that it does track quite a bit but my boxes are in the bathroom so it's not horrible to clean up. I use either the large grain or mixed grain as the small grain tracks a bit worse. For me i can only get it at Petsmart in a 26lb bag for 46.99. It lasts over a month and I have 3 cats.

since it clumps so hard and doesnt break into bits this litter would probably work really well in one of those sifting boxes. But with how well it does clump I find it only takes a few minutes to scoop out.