From a financial angle, think of it like this:
Most outfitters are booked years in advance for sheep (we will use Dall sheep as an example) in my experience calling folks in January of 2024, Yukon, NWT, or Alaska (most of Canada is 3-4 years out, Alaska was 2 years out).
Lets say you get a hunt booked today for NWT in 2029, you have a deposit now (say $10,000), but then you pay installments over the years or the remainder of the cost 3-4 months before your trip. If you have enough for the down payment, the questions becomes can you save the rest over 4 years? Plus don't forget cash is getting 4% right now in money market accounts, you can raise hundreds, maybe even a couple thousand dollars just on interest (depending on how much you start with), and if you book now the cost of the hunt does not go up (the incidentals will, so factor that in). Might mean you forgo some things (a new car, out of state hunts, other vacations, etc), but you do what it takes, which one keeps you up at night, goats or sheep?
Never been on a goat or sheep hunt, so what do I know about how the hunts compare, I just know I am in your shoes and gaming out how to make the finances work.