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Hey there, are you comfortable doing programming, or interested in learning? I published an open source midi router build I made that would be able to handle this. The code as-posted just examines incoming messages from USB and DIN inputs and redistributes to all the outputs, but it's not difficult to make filters or translator functions that trigger automatically whenever a specific type of midi message is received. Feel free to reach out if I can offer any assistance, your use case seems pretty perfect for the box.
Some other hardware options Blokas MidiHub and Faderfox EC4 which I think both can send SysEX. You could do midi routing with a Raspberry Pi based platform like Zynthian but that might be a bit of overkill.