I’ve definitely gone to DS en route to the airport to grab some Earl of Sandwich to have as a plane snack. Worth it.
Lime is the closest garage and that’s how I’ve done it before (despite Disney trying their damndest to get you to use any other garage). Not having used the rideshare drop off though… is it the sort of pickup/dropoff where someone else can have the car, circle around the block, and come back in to pick you up? That doesn’t sound like a bad idea.