A few people have mentioned stripping cove up and then using a dowel placed in the cove to take the pressure so as not to damage the edges. Stripping with the cove down and the bead up seems like it would be a simpler and more effective solution. Even with staples that's how I prefer to do it. Cove up is nice for placing glue until the strips start to turn sideways, then it can be a messy hassle. Applying glue to the strip before placing it onto the forms with the cove down is quick and easy enough.
Alan
Alan