For heat mounting you should mount first then coat. Takes about a week for a coated print to dry enough not to stick or significantly change its surface qualities when heat mounted. And even then you must use a silicone release sheet. The heat and vacuum will also help drive off the ink solvents in preparation for coating.
For glue mounting, coat then mount, the coating protects from glue getting on the image.
Common dry mounting practice for canvas is to use 2 layers or Fusion 4000 or Promount tissue.
Edit...sorry, should have said Versamount, not Promount.
Fusion 4000 and Versamount are sheets of pure melt adhesive. Promount and most other tissues have an intermediate layer of usually paper between two layers of melt adhesive. Both Fusion 4000 and Versamount can be used to mount just about anything (not sure about RC) and have the advantage that they are self-trimming if you use a Silicone release sheet, and you can layer several smaller pieces over each other at various depths without producing wrinkles on the mounted print. This ability to layer is what makes it good for canvas, you can use two layers to make more glue available to grab the texture.