I've lived in Colorado since 1976. Hunted elk most years including several archery hunting. Taken 17 which is a good percentage. Always wanted to go on a horse pack trip, but at 75 I've about run out of time.
Saw a fine 6 pointer the day before opening this year, then not even a fresh track for the next 6 days. It can be discouraging.
Your chances increase a lot I would think by hiring an outfitter since they, usually, are in the area scouting and learning the country long before the season opens.
It costs a lot for horses, equipment, food, manpower to run an outfit. Nothing in hunting can nor should guarantee success. You can only hunt hard and hunt wisely.
BTW, the area I hunted (Gore Pass near Kremmling, CO) in this year you could easily apply for a cow tag and buy an OTC bull tag increasing your chances…though I failed…LOL!
Lots more hunters these days in Colorado than even 20 years ago. Still if you're capable of hiking (maybe even in snow!) 1-2 miles away from roads your chances increase greatly. But remember you still have to haul your prize back out. That is likely 4-5 round trips. Very tough on a 75 yo man.
Best of luck and don't waist time in your youth to get the chance to hunt the mountains for elk! It is special!