Hi Tom,
A slight variation on the valuable detail above. I hope this is useful:
In my tour North-to-South through the Rockies & to the Washington coast in 2016, I used a 17 x 36 combination on my Raven, with 26" wheels and 1.6" Marathon Supremes. That gave me a gear-inch ration of 15.6 in my lowest gear.
There were a lot of hills on that tour, but they tended to be long (say, 25 kms) with a moderate grade (4-6%). If memory serves, I used my 1st gear only 4 times in about 2200 kms -- twice on the Icefields Parkway, once south of Canmore in Alberta, and once in the States, west of Montana (would have to check the detail.)
Each time I used low gear, it was for about a kilometre to reach to summit of a particular pass, and the climb was no problem.
As a comparison: On a 5-day ride in the hill country NW of Ottawa in 2021, I used my low gear about 15 times in 175 kms -- the hills were steeper (usually around 8-10%) and shorter, and on the whole, more demanding than what I encountered in the West.
Good luck to you & Kathy, and enjoy!
John