Adam almost certainly isn't there, he won't show up until later. Assuming this element hasn't been changed from canon (which it may well have) Adam wasn't in Vale until the Battle of Beacon, which we know because he wasn't at the meeting and given that he's in charge it wouldn't make sense for him to not be there and Roman to be if he was available
Who says Love is only going to hunt the White Fang in the city of Vale?
This sounds like poking the metaphorical bear, and it's not like Love won't have her share of villains to defeat in Beacon.
Why wouldn't you poke the bear when you are in a tank? Because that's closer to what it is than to doing it on foot. Seriously, they can't kill her and they definitely can't kill us.