These things tend to develop a wandering idle when you lower the float level. Rejetting and leaning the pilot is probably your best bet.
The 114 works well for me from my home elevation of about 4,000 until somewhere just south of 8,000 feet. When I say "well" I mean "acceptable", but far from optimum at much above 7,000. Within a very short distance from home I can be near sea level or at 9,000 feet, depending on which fork in the road I take, so jetting has always been a compromise. Having witnessed your riding style you need it optimized. I'm curious to see what you come up with.
I've currently been running the late model CV carb with its corresponding stock jetting as an experiment in hopes that it would offer at least some advantage in the higher elevations, but no joy. It's just as bad and suffers that slight (but present) "CV Lag" when you whack on it.
Seems someone in here was able to source 110's or maybe even smaller and used them on a Colorado trip. Can't 'member who right now, but they'll prolly come forward