The first thing I would try is a different muffler. Magnaflows have a good rep. Mine is "straight-through" but has a lot of space for sound waves to expand and be diminished.
Exhaust design is complicated. The "exhaust system" starts at the air intake, through the engine, all the way to the end of the outlet. My old boss and I both have Ducati singles. His is a stock 450 with a straight pipe, no muffler at all. Mine is only a 250 but it is ported, wild-cam-ed, large carbed, with a baffled, reverse megaphone exhaust. His is a pussy cat. Mine barks and snarls and sets off car alarms.
Is yours an otherwise stock engine? Or, has it been breathed upon?