Should work fine. You just have to be a bit careful about it, make sure you get the cleaner everywhere to soak any solids off the walls, especially at the top.
Oh, and that vinegar and bleach recipe is a good one. 1 part vinegar to 1 part 5% available chlorine bleach is the recipe. You want the pH to be 4 for optimal killing power. Be careful with home-brand bleach, it's only 1.5% available chlorine.