I too have a GSP-1101/Control set up similar to yours...
I run 2 or 3 different rig setups (typical scatterbrain guitarist I am) depending on what I feel like doing,..but all done with 2 similar setups.
For both I use Axess Electronics controllers,..but the big catch on using this route now is,..Axess is no longer, which is really sad,.amazing products and Mario is all class too.
Anyway,...with the "rack" setup I'd run,..
GSP-1101 into the Axess "GRX4" box,..with an ADA MP-1 and a Mesa Studio Pre (used only for solo's) in the GRX's loops. Long story short,..I hit a patch on the Control 2,..Gsp-1101 sends the MIDI message to the GRX4 and tells it what loop to activate.
The same works for the other setup where I use (don't throw knives at me!!) a Peavey JSX 120 head and the GSP1101 only. Using the JSX tone(and all channels) with the GSP for effects or amp models depending on the patch chosen. To accomplish this though, I use the Axess "CFX4" box for amp channel switching. Mario made a proper cable to allow the GRX4 and the "footswitch input" on the JSX to allow the switching of the amp channels.
After typing this I realised this may be of little help,..but if you can get your hands on one of these they work fantastic and are bulletproof...
Hope this has been of "some" use?.....