Haven't done this long of a pure personal trip in a while but in a previous (US) job I took several month long trips with an otherwise conventional vacation/work schedule. Combination of fairly long tenure at the company, some unpaid leave from taking leave for a Christmas shutdown, and concentrating almost all my vacation on those trips.
A 6-day work week means you basically have to take time off to go away for weekends at all.
That said, I'm not convinced a 3 day weekend is much better than a 2 day weekend on a routine basis, certainly compared to have the same time allocated more flexibly.