Just speculation, in an attempt to get the conversation going. Both systems run Debian, so getting the wolfram-engine package to install shouldn't be a problem. I'm assuming that ARM v7 is backwards compatible (RPi uses v6). The biggest problem may be disk storage. On a 4GB SD card with the RPi, I ran into disk-full errors when trying to install on anything but a fresh Raspian image.
Do you have a BBB to play with or are you considering a purchase?