Honychurch serves as a board member and founder of the Museum Association of the Caribbean. He was instrumental in setting up Dominica's national museum in Roseau and has consulted at other museums and heritage sites throughout the Caribbean, including the Betty's Hope Plantation in Antigua, Fort Frederick in Grenada and Fort Charlotte in St Vincent. He is developing an ecology and heritage center in the history buildings around Fort Shirley, an 18th-century garrison in Cabrits National Park. This work includes training tour guides and providing education on sustainable, responsible tourism for communities around heritage sites.