> Capacitance would become an issue before current.. I think
> according to the data sheet you're looking at a max of 1uA
> and 7.5pF on the control input. That's for the old original
> CD4066Bx National part, there are newer and possibly better
> versions too

7.5pF for Philips HEF4066 too

http://www.semiconductors.com/handbook/handbook_45.html

Perhaps try the 74HCT4066 (3.5pF) for wider fan-out. Lower
(11V) through-voltage though, shouldn't be a worry with video

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