National Express' Heathrow Hotel Hoppa H57 from T-5 Bus pads 26-27 connects T5 to the Hilton and one other hotel Travelodge), so there's no circuitous routing 8 minutes pad to hotel; headway is every 22 minutes, £4.50 one way purchased on the bus, as "little" as £7.00 return purchased in advance. N.B. Hoppa do not accept £20 bills! Hoppa PDF schedules from here.