There is a reason if they had to go with the KwK36, just like there is a reason if the PzIII wasn't ready earlier on. You are asking the Germans to both have the vehicle ready earlier _and_ to arm it with the gun they couldn’t give it in the OTL time frame.
In other words, you are asking too much.
I'd also like to know what you mean by "Russ Army Group N". The _Germans_ had a Heeresgruppe Nord. And deploying two more Panzerdivisionen there would be the worst way of employing them, there are reasons if HGN was the poor relative.
The short 50mm tank gun was available in the late 1930s but the army successfully argued for the 37mm gun because they were fielding the similar 37mm gun as their main AT weapon and felt there would be logistical advantages if a common weapon was chosen. At the time, the 37mm was more than adequate for its task. As a compromise, the Panzer III did get a turret ring capable of taking the 50mm gun so it could be upgraded if necessary.