I don't think you'll have a problem. You'll be flying business, so its not like you'll be cramped... and in those seats, you'd be able to get a good shuteye should you so decide. Also you're gonna be in the US for >1wk, jet lag won't be an issue

Also you have a 2-3 day gap before you fly again, plenny of time to charge up.

IMHO, you're golden!