RE: most accurate fixed broadhead.
There are lots of broadheads that will do the trick. Muzzy, InnerLoc is a good one. Perfect alignement with the shaft is one of the requirments. But even with all that you must have a bow that is tuned to perfection to get the best flight characteristics. You don't tune your bow and it doesn't matter what fixed head you use. They just may not group well.
To that end you have all summer to get it tuned right. Easton's Tunbing Guide can be a good help. Download it and use it.