Pie was first man home in a time of 34.16 with Stafford Harriers' James Perkins second eight seconds back.
The first Coventry runner home was Stuart Boon of Sphinx AC who finished third in a time of 35.22 in a field of 162 with Nuneaton youngster Danny Mills fourth.
The win for Shaw lifts Amazing Feet, to the top of the table of Mens A Teams in Division 3 with Sphinx AC right behind them in second place.