Fixing the "Vs. Player" squares in Encore!
From the looks of the rules, ways of solving this issue are rather limited. This appears to be a normal roll and move trivial pursuit type of game of the music variety. Your solution is probably the best solution, just don't use single player spaces. In any game that requires a single player from a team to answer a question, it can be awkward if that player is completely stumped. In a game like this, where you want collaboration, I see no need to force single players to compete against each other.