It all depends on the approach. Instead of saying "do you have any rooms available?" you could just say "I only have $AMOUNT and quite frankly I'd rather stay here than at my old Uncle's place down the road" (or a variation of which indicates 'price does not matter'. [1]
Disclosure: I am somewhat of a paid professional negotiator so techniques like this may not work if not done properly or in every context.
[1] In another business you'd be surprised at how many people simply say 'can you do any better' (which means 'you have the sale') rather even 'wow that's to high... a competitor will do it for $AMOUNT can you match that?' Edit: Emphasis on a convincing use of 'wow!'.