Probably because AG pump/filter sizing is so 'flaky', the manufacturers usually do not make it easy to 'engineer' an AG pump filter combo.

Keep in mind, that the HP designations on AG pumps mean much, much less than you'd think: here's comparison table on the Hayward pumps:

https://www.hayward-pool.com/shop/en...ix-a-supowm--1



In general, bigger filters and smaller pumps are better. But, available equipment is better than unavailable equipment. A perfect match would probably be a 1 HP VS pump with a 21" filter, operating at 10 GPM for 8 hours per day, but backwashing at 12 - 15 GPM. However, such a system would probably cost $1,500 and have to be pieced together.

Everything is a compromise; nothing is fully optimal. But, I'm pretty sure the system listed above will work well, if throttled, and will be pretty economical, both to buy and to operate. And . . . it's available and serviceable.