Barnham broom hotel - the hill course, located near norwich, promises spectacular views and exciting play for golfers at all ability levels. Barnham broom hotel - the hill course is challenging but fun, with well-kept fairways and greens, and the staff will help you play your best round. The hill course at barnham broom hotel is an ideal choice for your daily rounds of golf or as a new stop for you and your mates while visiting norwich.