Contact the Discovery Channel, Travel Channel, National Geographic Channel, etc. and see if you video your journey or something if they would be interested and if so if they would pony up some dough for it. I know that Ewan McGregor did it on a BMW and one of those channels carried the show (yeah he is a star with major name recoginition, but its worth a shot).
Hit up Suzuki, using their Adventure Tourer for this trip and see if they would be willing to sponsor, in exchange for using you in a marketing campaigne of some sort.
You could also hit up some aftermarket accessory vendors and offer to use their stuff and let them use you for marketing in exchange for some funding (and free farkles). Try Givi, SW-Motech, Hepco Becker, Caribou Cases, etc. Don't stop with bike accessories, try riding gear vendors too.
I did catch a little of the show McGregor on the BMW. From Russia through Mongolia is a real PITA. Make sure you have engine guards etc as you will be riding on roads of rock, not gravel, but rocks.
Red 2006 V-Strom 650: "the most shockingly competent machine in the world today"
Alpenkönig (a.k.a. King of the Alps): 2005, 2006
1989 Sportster Bobber Hardtail
1990 Electra Glide with Cop Bags