Before you go any further..
Are you aware for the reasons why its called a Dog box?
The way it shifts from one gear to the next is rather different to a synchromesh box. Essentially you are "Flat shifting" without the use of a clutch between shifts.
I remember the days when Ramon had ordered the dog box and decided to Flat shift the std 5 speed. I think it lasted a week or two.
Here's an image of a dogchange set
And heres an image of a standard syncro gear
A sequential shifter would mash those synchros in an instant