I want to use rice paper to draw a picture and then lay that on the cake but am concerned the paper will not dissolve. Can anyone hand out advice or answers on dissolving the paper? Thanks!

The rice paper may get a little soft, but it will not completely dissolve. The one thing that dissolves rice paper is water, but that will destroy the drawing. You need to use an icing sheet to do your drawing and then put it on your cake (before the BC had crusted) so that the icing sheet will melt into the icing.

The proper term is wafer paper, but some still call it rice paper
Icing sheets are better to use for this application.......unless the pic is very small.
Some people find wafer paper to become tough and hard to cut once on a cake, but it does melt on your tounge........as was said, any liquid will dissolve it.