AVRs are far from outdated. The AtXmega series is very powerful. It includes modern features such as DMA transfers. AVR chips are much easier to work with than ARM for certain applications. They are also lower power and cheaper. The OPs application would be significantly easier to implement on an AVR. On the RPi you would have to write a Linux kernel driver and deal with real-time issues. In the AVR you would create a few interrupt handlers and be done.