40,000 ft in 10 days with 30 lb packs?
Ok, I'm not so worried anymore.
My wife mentioned the need to visit the county clerk's office before the marriage to sign paperwork, and wondered about rules for non-US citizens. I can see that you are doing a lot of research on the hike and so I can trust you will also be figuring out all the legal details for the marriage, as well.
I realize the idea of getting all the proper work done before you start the hike works well if your county base is Fresno. You can also pick up all necessary hiking materials here as well, since there is an REI store and another with good backpacking supplies (Herb Bauer's). But... the Whitney summit is not actually Fresno County. It is in Tulare (Too-LAIR-ee) County, with clerk's office in Visalia, 45 miles south of Fresno. Not sure of the rules about the location of the wedding being outside the county boundaries.
If you change the start/end of the loop as I suggested, it is a 5-6 hour drive from the west side over to trailheads on the east side, so that would likely affect your decision, too. With the eastside start, you might arrange all the work in Independence, the Inyo county headquarters. If you chose that option, flying into Reno NV, or even Mammoth, CA could be an option.
By the way, if you Google
big seki loop, it turns up another short discussion of the BSL
here, and also, several CalTopo maps (CalTopo has some nice options if you work with it.)
