As a parent of kids at a British School in KSA:
School is 8-2.30 (primary and secondary). Neighbours kids go 7.30-1 at primary, and 7.30-2 for secondary.
Holidays are anyone's guess!!! Personally we went from Mid August to Xmas without a break then 3 weeks off af Xmas. One week at Easter, and finish early June. Think its 38 teaching weeks. Neighbours have much more UK style term, with half terms, and a much shorter (but longer than uk) summer.
Kids happy. Yes, it's hot, but school is fully AC. Playgrounds all covered, lots of inside gyms for sport in summer, and enforced indoor play above about 40C.
Personally, our school would snap you up as a teaching couple. Not sure if your qualification would translate tho. Saudu is very funny about the right paperwork. Check how your schools dire t course would be treated.
The other possibility would be for DH to vone overmatched and then you to apply as a local hire. Pay and benefits much lower for you, and DH would be less attractive to hire.
Looking at contact time, I'd say its low. Even in primary, my kids have specialist teachers for art, pe, music, Arabic- so for all those lessons, the kids are not with the class teacher.
Got to go out. Ask if there is anything else.