Are my gas stove burners clicking due to high elevation?
While trying to find other resources for you question (looking at the effect of elevation on pilot lights in furnaces, hot water heaters, etc) it was mentioned that elevation does in fact play a role in the pressure of the gas being ignited and could theoretically create a problem. In most responses though, there was debate about whether the theoretical effect was effective.

Anyway, while elevation could be causing the difficulty, if your furnace and water heater are working I might suggest that either the pilot or the burner might need a bit of cleaning. Pilots will frequently tick when they are clogged or the jets around it are not making a whole circle.

If you clean it and have no result, you might want to look into ways to increase the pressure of the gas jets without increasing the overall output. Perhaps this is one of the Vikings with sealed burners? There are varying reviews on whether this helps/hurts air to fuel ratio at higher altitudes|elevations. If this is the case, your gas company may be of some assistance.