I absolutely recommend Goldener Hirsch for your stay in Rothenburg ob der Tauber. The parking alone is a huge bonus in a town with narrow roads and limited space. The parking is just up the road, 3 min walk, and (at the time of this review) is 11€. Worth it!
The rooms are nice and comfortable, and fairly large for a European hotel. There is no A/C, and they have bats at night, so you can’t leave the windows open to cool things off. There is a small fan in the room, which helped, and the bats would be an issue wherever you stay in town.
There is a great breakfast buffet in the morning.
The hotel also has many lovely sitting areas, a game room with a pool table, and an elevator.