The 20-year-old was dropped off by a taxi near Carrefour Selous, St Lawrence, in the early hours of Saturday morning.
A huge search operation involving the emergency services and the Channel Islands Air Search has been active over the weekend and resumed on Monday morning.
Police are now issuing 4,000 leaflets bearing a photo of Mr Lynch and a description of him to houses in St Lawrence, St Mary and St John.
Home owners are being asked to check their properties for Mr Lynch, who was last sighted in the area of Bon Air Stables at 2 am on Saturday. They have also asked people to let them know of households where the owners are away so that searches of those properties can be arranged.
Chief Inspector Lee Turner, who is leading the enquiry, said: ‘Adrian is a fit and healthy young man and we still believe there is a chance he is alive somewhere, possibly trapped or hurt.
‘We would ask everyone in those areas to check their property, and if you have done it once then please check again.
‘If you are concerned about anything or want us to check for you then please call us on 612612.’
