I made a post like this awhile back but was unable to provide picutures, thus assistance to my question was minimal. So this time I went and took pictures to ask what is the proper technique.
I personally always hold it the first way. It feels more natural and my grip on the bachi is stronger. The one problem I have is that my wrist as to turn in a lot more to get a proper strike on the do.
The second way looks a lot closer to what I see in images (such as the one the this website), however I find it to be a very weak grip when I use it, making it very difficult to perform sukui without it flying from my fingers. I am also unable to find a good way to maintain a strong grip while following the advice of thumb on top of the head of the bachi as opposed to the edge. The up side to this grip is that the angle my wrist has to take to strike the do is much more shallow, making each strike less strenuous and making the percussive element of tsugaru style more prevalent.
So I hope that you guys will be able to help understand what is wrong with either (probably both) of these grips so I can play more effectively. Thanks in advance!