I have a 9 hour layover in SIN and would like to stay at the airport. The transit hotel web sites indicate they are before baggage claim. Since we are not on a single itinerary, not sure they will check my bag all the way through to DPS (DEN->SIN on UA; SIN->DPS on SQ). Can anyone confirm I can't get my bag and stay at the Transit hotel? If so, what are the other hotel options at SIN?