Bill brings up something that resonates...you may be able to modify your setup to provide a lot of extra headroom, but you may still need to retain a few horizontal members to insure the building doesn't bow out at the top of the walls from the weight and pressures exerted by the roof system. The great room in our home is a good example of this. While the ceiling is "cathedral", there are two large barn beams that hold the wall structure securely vertical. Beams or heavy cables may be required for your particular structure to be able to open things up without risking structural integrity.
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The most expensive tool is the one you buy "cheaply" and often...