I have seen references to a Salzburg Infantry Regiment that was a part of the Reichsarmee in the 7YW, raised from the ecclesiastical territory of Salzburg (part of the Bavarian circle). It's not clear what happened to this unit, if it survived to 1792 or what might have occurred with secularization. and it seems a partition with part of the old territory being ceded to Bavaria in the 1803 settlement.
I also have located some info on the Salzburger Bürgergard which, it seems, was later absorbed into IR46 when Salzburg became Austrian at Pressburg. If Google books would straighten ont eh IR46 regimental history problem, there might be some info there. The Bürgermiliz seems to have been 2 companies strong from 1792-1800, but after that this isn't clear. I suppose two companies could be loosely referred to as a battalion, but the existence of the 7YW regiment suggests that the there may have been something more than the Bürgermiliz.