Whilst it is doable, I knew of a few guys on BMW R60s who did the CSR in the late 70s or early 80s, its not a solo trip and will require someone to drop fuel for you at one or two of the wells. I'm pretty sure ExploreOz has some details about who to contact. I think they will only drop 205 litre drums - so its a good idea to have a few mates along to divide the costs - which will be expensive. Dont forget a hose to siphon the fuel.
I think a BMW K75 from Sydney did it two up in the 90s, so can be done with standard roadbikes with some offroad tyres fitted.
I'd say three riders is the safe minimum as a dislocated shoulder could be fatal if no one comes along for a couple of weeks/months and you are travelling alone. With so many dunes to cross taking a tumble is a fact of life, it just depends on the speed you are going when you hit the dirt. If you can get hold of the people who drop the fuel you'll be able to find out when others are travelling to reduce your isolation risks.
There are plenty of posts on here about Cape York, just try the search function.