I actually own all three systems.
I wouild recommend the Bose Compact, unless you are playing for groups larger than about 200.
The advantage of the Logitech would be hearing yourself in stereo, which is nice. You can get two Compacts for the price of one L1, and have the best of both worlds.
The Logitech sounds good, but is a pain to move all the pieces and set up everything. Of course the price is certainly right for the Logitech, if that is a consideration.
But you want crystal clear, so the Bose will be hard to beat.
DonM
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DonM