@Cheese9Man Wow... Not sure why I've never thought of just using a marksman/sniper to try to get damage badges. I have the 2k badge on Pathy and Octane, but have only been able to come within 25 damage (literally 23 damage away) from getting the 2.5k badge (I think that is the next tier?). I've gotten 3,500+ damage in Arena... but I don't count that, for obvious reasons.
I'm actually quite fond of the Scout, so I might start trying to focus on that, to try to get higher damage badges. Like you, that's the longest range weapon I'll use. I will sometimes humor myself and pick up a Kraber. That typically just ends up in the hands of whoever killed me while I was trying to use it XD