I believe this can be accomplished with "CON" statements in the raster calculator. I would nest the statements, working from highest ranking to lowest. So, in pseudo code: Condition1 ( raster1 not null, use raster1, else(condition2( raster2 not null, use raster2, else(condition3( raster3 not null ......
If you need more explicit instruction, send a reply to the thread, and I or someone else can elaborate.
Best Regards,
Jim