If your locals cover drivers as well as route drivers are all "FT" and not "TCD", I would definitely bid a route, until having 3-5 years seniority, then maybe bounce over to cover driver.
I looked at our locals bid lists in many buildings and maybe 12 or 14 centers, and I would be near top of the seniority list for all centers. 12 years FT seniority. There is no reason to bid a route and be near the bottom of the list, and stuck on a hood or heavy industrial ball-buster route, unless it was very early on.