After just getting back from 10 days in the woods w/no electricity, and having a fridge + lots of coolers (11 people), dry ice is the way to go for keeping things frozen, but watch out for 'unfreezables' like beer.
Some thoughts:
If you are just by yourself, you can control who/when coolers are opened. Throw in a few 6-10YO kids, and that goes out the door. A 7.99# block of dry ice was gone in 3 days in 80+ day heat (high 30s at night). That said, we went into town and replentished and our hamburger meat was still frozen after 10 days.
I had a 5# block of dry ice in a stainless coleman cooler w/regular ice (10# bag), just to keep my beer/beverages cold. The dry ice was at the bottom, under the ice, w/the beer at the top. For the first couple days, the beer was cold, but by day 3, the dry ice had frozen the regular ice solid and one of the beers was a frosty. Yeah, I could have been more diligent at keeping everything separated, but realistically, I was on vacation and didn't care.
All that said, I'd go one dry ice cooler (freezer) and one regular ice cooler (fridge)...trying to do both in one cooler was a PIA and I really didn't like it and would go w/regular ice if I didn't have stuff that had to be frozen.