Sounds like you are on the right track. And it can't be overstated how much those trekking poles help on a heavy haul. Helps with balance and especially helps your knees and footing while on uneven ground or stepping over blow down. Can lean on them as well when taking a break, use as shooting sticks, Pitch biveys/tarps if you have them, all around an extremely valuable tool.
My first question is how many guys will be helping with the pack out and how capable? In my opinion, 3 guys who know how to haul could do a whole elk + their camps. Should they? Depends. If you are packing to the truck and have supplies at that location, then leave camp on the mountain and hike back the following day empty if you have additional hunting to do. If you have 4 guys helping, I see no issue doing an elk in one trip. Fairly easy when each guy grabs a quarter. I've personally hauled camp and half an elk before(multiple times). Two rear quarters and straps, and its not easy, but do able. Avoid if it possible. It all comes down to how many hands you have like others have stated. If its all hands on deck, you can all load lighter, move quicker, and be back on the hunt faster than if you only two guys try and handle the elk. Those two guys will be shot, and need some recovery before another hard pack. 4 guys should be able to crank it out and get back on the mountain fairly quickly. My advice is to limit the downtime between successful hunts, to increase your chances of getting another elk. A week goes by quick on the mountain especially after a kill.
Not sure on your gear, but since you said any legal elk will suffice, I would leave the spotter at home. Focus on the necessities and dont bring a bunch of extra crap you wont use or slow you down. Binos, two sharp knives (no saw, not needed), hopefully you have a water filter so you dont have to haul all the weight, your camping gear (tent, pad, bag, stove), game bags, and you should be set.
Good luck on your hunt, hope you whack n stack.