Funny timing...am just sitting down at the laptop, trying to figure out how to balance training, work, kiddo, wife etc.
I get completely where you're coming from.
Can I offer a third perspective?
It's not really about the belt; it's about what YOU think the belt represents, as a right of passage. Correct? You want to be a "legit purple belt".
But you better believe that as shitty as you think you are, there are others at your belt level that are worse...much worse. And those that are much better. So...wat do?
What you're really after is some sort of sense of having 'earned' the belt.
It seems to me your option 3 is a good one, in terms of family balance - which is important. It also gives you the touchstone of the occasional Sat open mat training at ATOS, so you can gauge your progress.
So, instead of coming up with compromises, why not stick with what works AND focus yourself towards something that represents a right of passage for you? Eg: a big, national competition (that you have to spend 6-8 months preparing towards), a week long camp, etc. Earn your -own- self respect. Set your own rubric and give yourself your own gold stars...because no one else gives as much as shit as you.
Eg: I did a week long wrestling camp this in January. I did it for me. You better believe that I was no match for the 18yr old who trains 6 days a week, twice a day and is competing in the Youth Olympics.
But...I did it. And I didn't quit. And that's worth something, in terms of being ok. (And reality, being ok by our standards is probably a fucking super-power by the average middle age joe)
www.reddit.com/r/judo/comments/adufgo/41_years_old_at_wrestling_camp_training_45_hrs_a/
Pick something like this to orient to every year and forget about "idealised" comparisons. You're not the kid who's 15 years younger than you and fucked off to ATOS. You're you, with your own shit going on. Calibrate your own win.
My $0.02