no worries Doc,just be careful resting the wet DT on 3 lids doesn't leave a circle shape on the body.
might be best to stain the back first, then the front and make up a jig with wood blocks so it rests inside the control cavity and hence bare wood
a better method is to cut a hanger out of scrap wood, put 2 screws in is usually enough, then you can clamp the hanger to the working bench and keep the wet stain touching anything and it's easy to handle the body with a hanger
then a hook through a hole at the top you can hang it somewhere to cure