Another tactic might be to rent from an owner, get an invoice for your lodging and submit it for reimbursement.
As I said before, most of my travel has been for the federal government, either as active duty military or as an employee of a government contractor. The federal government model is pretty good. Each locality has a per diem rate with two components -- lodging and M&IE. You get reimbursed for lodging up to a certain limit for the locality but have to present a receipt from the hotel. Some really nice, otherwise unreachable, hotels have a government rate that happens to be exactly the rate in the government travel regulation. I've known people who came to the DC area, lucked out and were able to stay at the Ritz-Carlton in Pentagon City at the government rate.
The second part of a per diem rate is Meals and Incidental Expenses (M&IE), which you get by virtue of being on travel, no questions asked. You could go to Safeway and get a loaf of bread and a jar of peanut butter and no one would know or care. You can claim such things as local transportation (e.g., to/from the airport) and some other reimbursable expenses.
Way back when (up until sometime in the '80s maybe?), to get reimbursed for meals the government required receipts. Really! You had to tape cash register receipts to a piece of paper and submit it with your travel claim. They quit that because the cost of auditing claims was too much. Foreign travel was a problem. What kind of receipt would you get from a restaurant in Turkey, for example? (I know the answer to that -- something handwritten in local currency that had to be converted to $US.) It was a mess so they went to the M&IE thing.