>Are there any PICs that can output more than two duty cycles?

yes.

>I have seen some PICs have four outputs but they are just for
>driving h-bridges and still only let you set two duty cycles.

The 24FJ256GB110 family have 5 independent PWM outputs (at least in the 
larger pin count chips, I haven't checked all members of the family). These 
have a newer Output Compare module that uses its own timer. It would be 
possible to have even more PWM outputs using the timers as well. 

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