Can you run Garmin's Quickdraw Contours in the background while viewing full-screen sonar?

I know I can run Quickdraw Contours on a multiple screen view while also viewing sonar views, but is there a way to run it in the background while viewing a full-screen sonar?  I'm using the feature in the little Striker Plus 5cv on my float tube to map areas I'll be ice fishing in the winter while using the 5cv in it's portable ice fishing case.  

When I was out in my float tube yesterday, I started Quick Draw Contours from the GPS chart screen, then switched to a full screen conventional sonar view.  When I switched back to the chart page later, I found that it had stopped mapping when I had switched to the full sonar screen.  It continues mapping when it's showing on a split screen view alongside sonar views, but the screen is small and I'd prefer to use a full-screen sonar view while I'm fishing.

Thanks for any ideas,

Bob