The correct answer is $\boxed{\text{B) $137.27 per hour}}$.
The budgeted direct labor cost rate is calculated by dividing the budgeted direct labor cost by the budgeted total direct labor hours. In this case, the budgeted direct labor cost is $755,000 and the budgeted total direct labor hours are 5,500. Therefore, the budgeted direct labor cost rate is $755,000 / 5,500 = $137.27 per hour.
Option A is incorrect because it is the budgeted direct labor cost per hour, not the budgeted direct labor cost rate.
Option C is incorrect because it is the budgeted direct labor cost per hour, not the budgeted direct labor cost rate.
Option D is incorrect because it is the budgeted direct labor cost per hour, not the budgeted direct labor cost rate.