I rode to the Bol D'Or 24hr at Paul Ricard circuit in 1990 on an MZ (if you're not familiar it's an east german 2-stroke commuter bike) with a top speed of 80mph and a penchant for seizing frequently. Not only did I make it, but I stayed with my mates on 750+ sportsbikes, and overtook a load of VFR's on the ardeche gorge road!
So your CBR should walk it. Just make sure it is fit for the job before you head off; change the oil and filters if they haven't been done recently, check the tyres, brake pads, coolant, etc. If they're all okay you're good to go.
Have you considered staying at a motel while en route? Formule1 hotels are cheap as chips - they start at 30 euros a night per room - not per person - and each room sleeps up to four people. I know you've mentioned camping, but with 2-3 days riding on the cards, getting a good night's sleep will make the journey much more enjoyable. Reims and Moulins seem about the right distances.
Get a cheap satnav if you haven't already got one (they start at £50 in tesco) and rig it to your bike using a cigar lighter socket from halfords. Then you can disable toll roads and motorways without spending days plotting routes.
Whatever, get the bikes packed and get going, you will absolutely love it!
