The Renaissance London Heathrow Hotel is right nearby London Airport (LHR-Heathrow). This high-end option offers guests conference facilities, Coffee/tea in lobby and Audiovisual equipment.
You won't have to contort yourself like a pretzel and sleep on those back-breaking airport benches. Look into the deals at the Holiday Inn London - Heathrow Ariel, which offers guests conference facilities, onsite dining and Air-conditioned public areas. The Apple House Guest House Heathrow Airport, with its internet access, parking and Smoke-free property, is an awesome spot to squeeze in some Zs too. You'll find both options just a quick drive from the terminal doors.