I do not recommend any day trips to Barrow, and frankly 4 days is not enough time if you are also looking at a day of flightseeing out of Fairbanks. How do you plan on making your ship???
I have flown with Warbelows many times. BUT, I now, pick and choose what areas I want depending on their schedule. I call ahead and usually have 2-3 days open, then purchase.
Your "Eskimo", lifestyle is where??? It's important to get the locations for me to give you information. Sounds like Anaktuvuk Pass??? Which is spectacular scenery (I wouldn't purchase a canned "tour" there myself, but have flown up there on cargo flights).
Since you won't have a lot of time, I suggest you contact them when they have their flight schedules- probably a week or two before?? (verify this) and do your homework in the meantime on locations, as an example, I wouldn't bother with Ft. Yukon, Coldfoot, Wiseman, just my opinion, but not real scenic flightseeing.