Flight search for 3+/4+ stops

I often search multiple-hop flight routes from a source to a destination. it is very important that the flight route fits my schedule and budget. that includes adjustments or constraints due to commute times from home or workplace to airports (often there are multiple airports in the same city offering different options).

All or most of the flight search engines are limited to a filter of "2+ stops". It includes 3+/4+, but I want to compare such 3+/4+ stop flights ONLY and sort by distance/duration/price/etc, then book an itinerary that fits my schedule and budget. It may not make sense or may sound totally strange, but I am okay with paying an additional expense to get an extra hop that fits my schedule (takeoff and landing times).

I often use the usual sites like Skyscanner/Ctrip, Expedia, Kayak. Sometimes I'd like to see all options on a map like Kiwi or across a date range like Momondo. Even Gantt charts like Hipmunk or Skiplagged showing intermediate stops are fine. (Thanks, Team at Kiwi, Momondo, Hipmunk, Skiplagged)

Other sites i tried: Adioso, Hopper, Orbitz, Priceline, Travelocity, TripAdvisor, Hotwire.

I'd be happy to fly more segments. so 3+/4+ from A to B and 3+/4+ for B to A on the return leg is what I am looking for. That adds up to 6+/8+ for the entire trip.

Update: In short, I want to find a list of hops P,Q,R on one-way such that i can reach from A to B via P,Q,R in sequence, then K,L,M on the return leg to get back to A from B.

Trip:[A->P->Q->R->B], then [B->K->L->M->A] 3 hops in each side, 6 in total.

Any special function/feature i missed on the sites listed above?