If it is a MCU based on a simple ARM Cortex M0, M0+, M3 or RISC-V RV3I, then you could use an iCE40 or similar FPGA to provide a big acceleration by just using the DSPs and the big SPRAM.
Basically add the custom compute operations and space that doesn't exist in the MCU, operations that would take several, many instructions to do in SW. Also, just by offloading to the FPGA AI 'co-processor' frees up the MCU to do other things.
The kernel operations in the Tiny GPU project is actually really good examples of things you could efficiently implement in an iCE40UP FPGA device, resulting in substantial acceleration. And using EBRs (block RAM) and/or the SPRAM for block queues would make a nice interface to the MCU.
One could also implement a RISC-V core in the FPGA, thus having a single chip with a low latency interface to the AI accelerator. You could even implement the AI acceleator as a set of custom instructions. There are so many possible solutions!
An ice40UP-5K FPGA will set you back 9 EUR in single quantity.
This concept of course scales up to performance and cost levels you talk about. With many possible steps in between.