Bamburi Airstrip (BMQ), a small private airfield on Kenya's north coast near Mombasa, has no lounge of any kind, and most travelers to this beach-resort stretch never pass through it at all on their way to a hotel.
The coast reality here matters more than the airstrip itself: Bamburi and the neighboring Nyali and Shanzu areas form a well-established resort strip north of Mombasa, home to Haller Park, the reclaimed nature sanctuary built on former cement-quarry land, along with a long run of beach hotels. Most visitors arrive by road or taxi from the region's real airport rather than through Bamburi's small strip, which sees light aircraft and charter traffic rather than scheduled passenger flights. Hotel shuttles and pre-booked taxis cover that road transfer routinely, so it is a well-worn route rather than an improvised one.
Mombasa's actual gateway is Moi International Airport, several kilometers south along the coast road, which handles the coast's domestic and international scheduled service. Its own amenities are modest by international standards, and any lounge or premium facilities there should be confirmed directly with your airline rather than assumed, since coverage and offerings at coastal Kenyan airports change from year to year and are not documented to the same certainty as a major international hub.
Kenya's coast runs on a fairly well-known high season roughly from December through March and again in July and August, when European and regional holiday travel peaks and the beach hotels along Bamburi and Nyali fill up with sun-seeking visitors. Outside those windows, the coast is quieter and easier to move around, with shorter queues at Moi International itself. Whichever season you travel in, plan your arrival through Moi International and your onward transfer to the resort strip by road, since Bamburi's own strip plays essentially no role in a typical visitor's journey.