I regularly use dry ice for multi day trips, like 7 days on the SanJuan with 2 days driving to get there. Here are some things that work for me...
1. I freeze anything and everything I can before hand to act as ice. Frozen meat, canned beer, pre-scrambled raw eggs. All freeze and thaw well.
2. I make a 3" block of solid ice in the bottom of the cooler. Lacking access to walk in freezer I do this by sawing blocks of ice to fit, then filling the craks with crushed ice and tap water. I freeze this solid by placing a block of dry ice on top the night before departure.
3. in the morning I pack it full with the pre-frozen food, leaving a few inches clear at the top. Then I add a block of the dry ice to the top and cover all with a piece of old blanket. I have abandoned efforts to use the dry ice cooler for any fresh veggie. Try as I might I always ended up freezing it. Instead I use this cooler only for frozen stuff and transfer ice to a smaller cooler for day use and the veg.
4. I have drive with the cooler in the car but prefer it in the trailer, due to the aforementioned CO2 concerns. If it goes in the back seat I make sure the cars fresh air vent is open. My Coleman 'steel belted' doesn't seal tight enough for there to be any pressure buildup, but that might be different with a Yeti.
5. During the drive I periodically check the dry ice supply and top off as needed, coordinating to top of the dry ice at the last town before the put-in.
6. Dry ice is typically sold by the pound. The blocks start out 6x3x3 then gets smaller as they sit in the store, so it doesn't make sense to sell by the bag. I usually buy 1 lbs to freeze the big ice block the night before, then I add about 1 lbs for every 2 days of driving.
1 lbs of dry ice lasts for about 3 days on the river keeping the temps well below freezing. (ice cream will be like a rock) When it's gone the big block of regular ice starts to melt and it can go for another 4 days.
I was able to serve popsicles on day 4 of the San Juan, and ice left for cold drinks at the take-out. Daytime temps well over 100 degrees.