u/Get2themonies

Heading to Yellowstone with my girlfriend mid/end of May and we want to optimize our time there. Lamar Valley, Hayden and a quick stop to see old faithful are the top priorities. Will be there for 5 days. Thinking of 3 days in west Yellowstone and then 2 days somewhere else. Need recommendations on where to stay. Budget is around 300ish a night. Wouldn't mind staying in one location/cabin for cheaper and then somewhere fancier/more expensive some of the other nights. Recommendations are greatly appreciated. Thanks in advance.