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There is a company in Runcorn called Sigmatex. (I did some work for them back in my sparking days)
They weave CF in a large number of widths and weights from something resembling fine silk to course mesh. I remember them telling me at the time that they supplied 90% of the F1 teams and a number of aircraft manufacturers. I also remember them telling me that it was also used to produce helicopter blades and to do this the weave layers were placed in varying directions and a mixture of course and fine fabrics.
They seemed quite open and approachable people. You may be able to purchase a 'roll end' off them and combined with a former make your own. ….. Possibly.!
Failing that, I would be surprised if they were not able to point you in the right direction of such a tube supplier.
Regards, Nick