I think a good compromise might be to at least give an option for keyboard controls at that part. I feel like for a lot of people it would be intuitive to use the mouse so you should still be able to do that, but if you had the left and right arrow keys (or even like tab) just cycle through the locations somehow that would be absolutely more than enough for me. Please keep in mind... I'm weird, and I'm also restraining myself from suggesting you add gamepad support since it would probably ruin the whole point of the game xD
I am absolutely going to be checking that out as well, and looking forward to what you make next~