I don't think it would be of much of any benefit to change the shape of the room, as room modes will still be present, flutter echos along one axis will be removed though.
I think the most benefit would be had by constructing the room to improve soundproofing, it might be possible to construct resonant panel absorbers in a wall or two to help with room modes. If not, budgeting money toward room treatments would most likely do more good in a room like that than changing the shape.
That's my recommendation, there are acoustician's and other more knowledgeable ones that populate this forums that could be more helpful, should they find this thread in time.