Not a GS, but yeah, similar problem with my bike.
Get some seatbelt webbing (ebay or car wreckers) and some large D-rings (ebay). Get the D-rings sewn into one the end of the webbing so it's like a helmet fastener.
Rolls up to about the size of a ciggy packet.
Unroll, thread one end through the frame or crash bars, adjust the length, slip the loop over one shoulder, cinch it up and stand using the loop of belt material and your leg strength to lift the bike, makes it a LOT easier. It can also be used to drag one end of the bike around though I've never needed to do that.
I have a slightly lighter bike than a GS, but it falls over further without the jugs sticking out the sides. Getting old, office job, so not particularly fit or strong and that makes it relatively easy to lift the bike solo.