Are there any sub 10 USD AVR or PIC uC that can do hardware PWM at the same time as hardware RS232 ..? The source of my question is that I suspect that same timer is used both for bitrate generation and for PWM frequency+duty cycle.
The datasheet will only mention resource sharing - they won't bother explicitly writing that the timers and counters for PWM and UART are separate, since that is obvious to anyone who has any knowledge of microcontrollers, or who is able to think a little and use a little common sense.
Where resources are shared (sometimes several timers will share a prescaler, for example), the datasheet will say so.
Perhaps you are mixing up a feature that some microcontrollers have (such as MSP430 devices) that have a "UART mode" for their timers. This is an alternative mode for the timer (other modes include capture modes, and PWM) to make it easier to make a software UART. It is not a full hardware UART - it's just a timer mode.
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