Many people underestimate how draining this type of thing can be. Flying is tedious and tiring. It may be fine for a few months, but it can quickly wear you down after that. It would be one thing if this is a short-term arrangement, but if it's open-ended, I would be very hesitant.

Is it possible to ask the employer to rearrange the schedule? For example, instead of being in the office 2 days a week, can you do 4 days in alternate weeks?