Randomly select a character, plinko-style
Lean Mean Bean Machine, 55 43 42 bytes
-13 bytes thanks to Alex Varga
  O
  i
  ^
 ^ ^
\ ^ ^
 i / U
 ii
 ^
i U
U

Hope you guys don't mind me answering my own question after only 2 hours, but I highly doubt anybody else was planning on posting an answer in LMBM.
This literally just reflects the Plinko layout shown in the OP, flipped horizontally to cut down on unnecessary whitespace.