Why on earth would anyone want to bother. You can re-programme the BIOS chip to do anything you want. Nowadays they are all flashable anyhow. All you need to do is learn X86 assembler and write your own BIOS. Naturally if you want it to still work properly, you'll also need to ensure that all the interrupt vectors get setup correctly and you include working routines to handle them all, Compile your assembler code into binary format, calculate (and append) the checksum, burn it to the BIOS, job done.
In days gone by, I made a MIDI interface for the Sinclair Spectrum. Complete with a 32 character LCD display. I then re-wrote the ROM to turn it into a dedicated MIDI computer. That was quite cool. Instead of using the tacky little keyboard it came with, it just plugged into the Roland Synth midi port. The Roland keys were then used to programme the thing, and all 48K of Ram was available for storing MIDI sequences. (since it no longer needed to reserve any memory for the display). It also allowed me to upload and download, sequences and sound patches, digitally, to audio tape (using the cassette interface).