The Cariboo Mountains are the furthest north of the Columbia Mountains. They are west of the Jasper National Park sector of the Canadian Rockies. The plutons found in the Purcell, Selkirk, and Monashee ranges seem to be absent. It may be that all of the rocks exposed in the Cariboos are too rotten to form good faces for climbing. Or not! Best to check with the ski guides.
The highest summit is Mount Sir Wilford Laurier (11,550ft), first climbed in 1924, and located in the Premier Range. Other 10,000 foot peaks can be found in the Premier Range (of the Cariboos, not northernmost Canadian Rockies). Otherwise, the average peak in the Cariboos is around 8,000 to 9,000 feet in elevation and nameless. Bowron Lake Provincial Park
is the most popular destination in the Cariboos. All the peaks near the park have been climbed but they are not difficult and of less interest to most readers of Mountain Project. UNCLIMBED PEAKS
In the best organized climbers guide to the Columbia Mountains, a Climber's Guide to the Interior Ranges of British Columbia
, American Alpine Club,1937,1947,1955,1963,1971 William Putnam stated on page 19 that: "There still remain a dozen unclimbed summits exceeding 9,000" in the Northernmost Cariboos."
Today's experts on the Columbia Mountains publish the Canadian Alpine Journal (CAJ). In the 2014 issue, Roger Wallis (author), Don Chiasson, and Norm Green reported the first ascent of several mountains! A bit north of Mount Sir John Abbot(10,550')' they climbed Awik Peak (3,015m), Pk 2,668m, and Pk 2,765.
The trick to finding first ascents is research, very time consuming. That is why it is considered good manners to mark ones summits as a courtesy to other parties (claims and counter claims do come up now and then). I'd up the ante and carve a plaque!