Context: I am attempting to find an accommodation on the route between two near points, in a major city in the USA. They are separated by less than 5 miles. I arrive at a bus stop, and must find a place to stay for a day. I will arrive late at night, so I would like to find a hotel near my origin. I need to go to a different bus stop, a short distance away, that does not open until the next day. Simply waiting outside is not an option.
Problem: I cannot find any such place within my budget, that is near my origin, or even near my destination. Is there a better way than what I have been doing to find accommodations?
What I have done to research the problem: I have put my origin and destination into search engines, with a query to find hotels near the route. All the results are out of my price range. When I try to use an accommodation website, the results given are outside of the distance I am willing to go.
This is not a shopping question because I am asking "I am attempting to do x. How can I have greater success?"