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IHG status doesn't really offer much unless you pay separately for the Ambassador program and stay at InterContinental hotels (which are mostly in major cities and resort areas). Status doesn't mean much at your typical Crowne Plaza or Holiday Inn.
I know enough about Marriott that I'd suggest Marriott over IHG. I don't know Hilton as well.
Hyatt perks can be nice but it sounds like you've ruled them out for their limited footprint.