Hi, OP! I'm chiming in as a Navy spouse. I only know my husband's community/experience/timing, so I'll leave the particulars to someone else.
But I think framing things like this is troublesome and sets you up for difficulties. If your goal is avoiding time apart, then that time apart becomes almost the enemy and when it happens, you likely aren't in the best place to deal with it. And if it happens significantly more than you'd planned, then it can feel extra burdensome.
You say your husband doesn't have a preference. Then he needs to go talk to instructors, mentors, and anyone else in order to get one. Choosing based on family time is a terrible idea, largely because things change, and there are outliers even when things don't change.
9/11 happened, and suddenly the expectations for how long my spouse would be deployed shifted dramatically. He still had to go out and fly the aircraft and do the mission though. At least he wasn't miserable doing that (most of the time

) while he was away for more than we had imagined. That's the "things change" part. World events, politics, even maintenance issues across the fleet can great affect time away for a community on a macro level.
For the tour he finished earlier this year, there were department heads who spent less than 3 months total at sea, while others clocked probably close to triple that. In that case, nothing changed, but the answers still varied significantly. That's where the variances are seen on a micro level. Ship's schedule, squadron schedule, someone going med down, and just luck of the draw affect time away.
And I point all this out because if you are white-knuckling this gig hoping to simply endure the time you are apart, it is likely to be along, painful journey for both of you. Deployments suck. Sure. But I still adore my life while he's gone, and he generally feels a great deal of satisfaction when he's gone, even if it means not getting to bask in my near Goddess-like presence every day. The goal should be finding ways to fill out both your lives so they are whole and completed even when you are apart. And for him, part of that is going to be finding enjoyment and satisfaction from
what he's doing professionally during that time. And that doesn't come from, "I'll take whatever has me traveling the least."
Very few people (either the service member or the spouse) like being separated from family, or course. But I'd encourage you to work on shifting away from that being some unpleasantness to be avoided, and into finding ways to be okay with it and make it work in your life. Think about your own job. Pick the very worst part of physical therapy (assuming that is what you do). Now imagine that's the only thing you do at work, 100% of the time. Would you spend 2 extra hours at work if all 42 hours were filled with the very best part of your line of work? Would your spouse be okay with being apart from you for those extra 2 hours if you came home feeling accomplished and excited about your job, rather than bored (or actively unhappy)? All that is a ridiculously verbose way of saying that quality of time can, and probably should, trump quantity of time, in both your family and your professional life.
Even choosing based on location can go terribly wrong. I'm back in the US after our second tour in Japan, neither of which either of us wanted or requested. And that decimated my career (three overseas tours in a row=totally dead career for me, a generally career-minded person up until that point). Possible locations are one factor to consider and has been discussed at length, but homesteading is far from guaranteed, can be potentially ill-advised from a career standpoint (or not, depending on details, but if the good DH billet with the good timing is in another location...), and simply might not happen for various reasons. It's fine to have hopes and preferences, but allowing yourself to focus too much on them can mean that when they almost-inevitably don't happen, you are unprepared and disappointing news can become devastating news.
Congratulations to your spouse, and I hope you both enjoy this adventure that is ahead of you, whatever it may hold!