I doubt if Eurostar will, but eurotunnel ie the vehicle service, rather than E* which is just people!
see:
http://www.visitbritain.co.uk/travel...urotunnel.aspx
Not too pricey?
Compare this:
When I took a BSA Bantam from Newcastle Central to North Wales in early 1980s, I had to pay prebooked in advance Half fare for the bike, full fare for me, plus a reservation fee. We went in the Guards Van, and I had to supply and fit my own tie downs!