You can install an exhaust vent on a wall in lieu of the ceiling, but look at the manufacturers specs. Some require the fan to be so many feet above the ground. Also keep in mind the depth of the of your studs. A base 50cfm fan is typically 3-31/2" tall. You must vent the fan to the outside. Which means do not dump into a soffit or attic, but terminate to a wall cap or roof jack. Some of your energy star fans are quieter and I think the Broan 784 (my standard fan for new construction) will fit in your stud wall, but verify before you purchase. Also look at Broan/Nutones retrofit fans. These may eliminate or reduce sheetrock repair. You may also find a ventless fan, but I do not recommend those since the main reason to install a fan is to remove humidity not odors.