Just as important as ideally where each hitter should hit, is the breaking up of all the righties at the top of the order. I do want Betts to get as many at bats as possible, so I would place him second.
Pedroia
Betts
Beni
Ramirez
Boegarts
Sandavol
Bradley
Moreland
Catcher, unless it's Swihart.