Check a little history. Brownwood, before Gordon Wood arrived, could have been the Warren of their day. Mr. Woods first year wins the first of 7 State Titles. Not one before him, not one after. If it isn't the coaching, then why hasn't Brownwood won one since Woods left? Why do you think that is. Also take a look at Stephenville. Before Art Briles, they were probably a little worst off than before Woods got to Brownwood. So they, more than Brownwood could have been the Warren of their day. It took Briles 6 years to win his first of 4 State Titles. 3 of those were 16-0 seasons and the other one was 15-1. Stephenville never won a State Title before Briles, but has only won one since he left.
I've given you facts. You have stated assumptions. Based on what Belichick has done in the past, he probably could. Within 5 years, maybe, maybe not. But, he could be like Gordon Woods and do it in 1 year or be like Art Briles and do it in 6 years.