If it's just a spare town cut all the trees down. Than TT 2 weeks or a month ahead at a time. Check the town for clovers and stars to get rid of them. Keep repeating until you reach a year. Make sure to check retail when you TT. Found all the perfect fruit at premium and a high turnip price. Made a lot of bells and weeds.
In a town full of perfect fruit I had 600 plus weeds to pull after a year of TTing. With no trees I would have had more.
If you want the weeding furniture than just TT enough to get Leif outside to win the prizes. Send your player over to pull the weeds to get the out of town gifts.