Personally I have no issues hitting targets with my primary fire.
If I want to aggressively push doing so with a tank in front of me works well, Reinhardt is particularly helpful.
I can also use my teleporter in a similar way to how a good reaper player will use Shadow step to gain ground. Place it in a spot where the enemy doesn’t have direct line of sight with it, Spots vary on different maps and positions on the map.
Also when I get to a point and lock it down with my team and turrets the enemy will come to me, I just need to have a teleporter setup so if I am in any danger I can get out and come back on my terms.
I am really excited to try the charge speed buff and see how it improves my ability to fight someone from charge level 1. At the moment if they are directly engaging me I am often better off using orbs unless my beam is level 2+