When I use GR5 for full sim, it's monitors effected but records dry. I bounce to track to get the effects printed while retaining the clean track. From there I slice/mute the two tracks to get what you described.
You can use a foot controller (or any controller really) to control GR5 just like a regular amp's footswitch and record that way too.
With the dry track, you can always drop a copy on another track and use a different sim, or even route external for proper reamping.