I have Van Ness framed boxes, which have a uniform detachable top to them that keeps litter from spewing all over. I don't think that model is made any longer; the ones I've found with frames have a lower opening at one end, which becomes the end they invariably toss litter over.
A couple of notes: I do not believe in hooded boxes, with or without flaps. Cats are vulnerable when they're using the box; they're immobilized for several seconds while eliminating. They need to see if an enemy is coming and decide where to run. A hooded box traps them. It may be nice for owners, but it's not a cat-positive thing, IMO.
One item that cat owners often overlook is the quality of the litter scoop. I've recently upgraded to DuraScoops, and they're so much better than the plastic, I wish I'd had them years ago. They're $12.99 on Amazon and Chewy. There are cheaper versions, but only DuraScoop has a solid metal handle, covered with a rubber or plastic covering. Reviews of cheaper versions show their handles breaking off. A scoop that improves the scooping experience would be a nice gift.
The other thing that I'd suggest you look at is a litter box made of metal by iPrimio. A collar, or frame, is also available for it. The box is large and deep and has a nonstick coating to make scooping easier. The firm makes a coordinating aluminum scooper with a nonstick coating. The box, frame, and scoop total around $100 on Amazon at the moment. The frame does have a cutout at one end, but the box itself is 6" tall, so the overflow should be minimized.
I haven't tried this box, and with four cats (need a box for every cat plus one), it would be a big investment. But it would also be a great gift, and all three items are covered by Amazon's free returns policy, open to January 31, 2021.