Update: looks like it’s using surface mount ATtiny chips (hence the SMT in the board revision number). There are through hole points on the board that are labeled +5v, MOSI, GND, MISO, SCK, RES, which directly correspond to programming points on the ATtiny.
So I may still be able to reprogram using some jumpers.
Update: it’s alive! I was able to install kastledrum and kastledrum_lfo_clk. Hopefully they’re on the right chips (LFO on the left). I am getting drum-like sounds but it’s very fussy.