Me? Oh, I'd jump myself into the void all the time until someone who deserves my nuisance comes up to my appointment. I wouldn't mind all the net hitting and pitfalls.
If I where a tier 6 villager, I would just move into someone's town, no matter if the mayor likes
me or not, stay for a while, till I move out on my own and just look for the next town. Basically,
I would move from town to town till I meet a mayor who likes me so much, that he/she want me
to stay forever in his/her town.
Oh the usual. Move my house on an unwanted area and take some landscaping with me. I'd start planting my favorite flowers not the mayor's. Infect the rest of the villagers with my catchphrase and fashion trends.
More importantly, stare apathetically when the mayor falls into a pitfall!
Move into the most inconvenient spot, always ask for difficult fish and bugs, and ONLY wear the green Someone from Anytown shirt...if I'm already bottom tier, might as well be as bad as I can!
I must be like:
"Hello, i'm Tier 6 and i'm going to be hanging around you're beautiful Town where Tier 6 has no room and when you want me to leave, i'm going to resist just to hit your Villager Stereotypes".
Meanwhile i know i'm torturing the Mayor's head with my presence just because i'm Tier 6. Muahahaha!
Just be there to annoy the heck out of the mayor with my "beautiful" house placement, right in the middle of a nice prairie full of pretty golden roses with the Mayor's house behind mine so I can always say hi to them everyday!