I think you should probably consider taking more than just 2 rods on such a great trip.
What happens when you, or another fisherman, slips in the boat and falls on your 2 rods? Ouch. It HAS happened.
..... In fact it once happened to a guy who had just questioned ( almost with scorn) why a friend of mine had brought along FIVE rods on his trip. Good thing my friend had an extra rod to offer him.
I would suggest you pick up a snowboard bag which will easily take all 3 of your rods ... along with all your gear for the week.
If you have a number of flights and connections, you may also want to consider packing all your ESSENTIAL fishing gear into a backpack and carrying it on the plane. That way if ( hold your breath ) the airline misplaces your main bag, you will still have everything you need to fish.
I fished the Dean in July. I took 4 rods ( in tubes ) in a snowboard bag.....an 8 wt switch, a 6 and two strong 7's. I carried waders, boots, rain gear, 2 reels, tube flies, etc, in a backpack right onto the plane, along with one rod (in a sock). I slept easy on the plane.
Most of time I fished the 7's. No problems at all.... even with the high water.
Have a great trip.