Interesting proposition and best of luck in your new endeavor.
A few thoughts and questions that I am sure you've probably already pondered and received feedback on.
Why do current guides charge what they do for these hunts?
I think a big part of the answer to that is because to conduct these hunts well with a reasonable if not high chance of success, it is expensive. Insurance, wages for support staff, scouting hours, etc. etc. Combine that with the short season in Alaska and that fact that I don't think any ethical sheep guide in the state should be putting more than 2-3 sheep hunters out in their area given the status of the sheep population, there isn't a lot of wiggle room to make a living. Sure many have increased their prices because that is what the market can bear and people are willing to pay, but running these trips with support staff and airplanes is not cheap.
Another thing that I don't like about your proposed model, no offense intended, is that it fosters the idea that a client is buying an animal instead of a hunt. I feel that mindset is prevalent and problematic enough as it is in the industry and culture and I would hate to see the industry continue to foster that attitude of entitlement. I think giving some sort of financial nod to the client as a result of not harvesting, such as a discount on another trip, etc. is a positive thing. Making the majority of your compensation contingent upon killing an animal though I don't think is professional or a good thing for the industry. Your costs will be relatively fixed and I think clients should pay for a hunt and a guides best effort, not the expectation of killing something. Guided mountaineering clients pay for a mountaineering trip and a guides best effort,, not a summit. I think commercial hunting trips should be the same.
Given the status of the sheep population in the state, and that you will be dependent on transporters to get you into your areas and likely won't be able to scout, it seems to me that you will more than likely be running cheap, unsuccessful trips. No discredit to your experience and abilities of course. The animals just aren't there any more. As much as I hate to say it, a huge part of sheep success in AK, more so that in the past, is going to come down to aerial scouting for the foreseeable future.
I think your estimate of $2k round-trip for flights is way low. Does the client cover their flight and yours? Most cub trips into good sheep country start at about $3500 per person and go up from there.
Will you doing all of the guiding and work yourself or be hiring assistants and/or packers? At $8k a trip I would assume you would be doing everything yourself. Sheep season is two months long here, so at most you could run 4 sheep trips a year. Realistically 3 as the last 10 days of the season is not for the faint of heart.
If you swing and miss on each, that is $24-$32k of gross income before your expenses, which would be minimal as an owner/operator probably, but not non-existent. Is that enough to put food on your table and gas in the tank until the next round of hunts? If so, more power to you. Seems like a pretty meager living for a lot of work and not a gamble I'd be willing to take given the lack of rams on the mtn. these days. Counting on killing rams to make a living seems like a foolhardy proposition at the moment.
Good on ya for asking the question and soliciting input. I hope things work out one way or another and again best of luck.