I have 5 sheep with the bow, two bighorns, and one each Desert, Stone and Dall, first four were do-it-yourself, the Dall was guided. Closest ram was 35 yards and the furthest was 60 yards. That said I spent a lot of time sheep hunting over a 37 year period to get an archery grand slam! About 1 in 7 stalks got me into archery range.
Goats were a bit easier to get close to for me as a bowhunter. I got two...both about 25 yards away...but the terrain was a whole lot more vertical than the sheep country I hunted. I also had better success stalking close on goats than sheep with about 1/4 of the stalks getting me to bow range.
Good luck on your hunts!
