If you're ok with setting up base 19 kilometres outside of the city, look into the neighbourhood of Coventry. It has 2 options available, such as Hampton Inn Coventry - Warwick Area and La Quinta Inn & Suites Coventry/Providence.
If you find yourself in need of more accommodation options in Wyoming, consider the Holiday Inn South Kingstown (Newport Area) and the Hampton Inn South Kingstown - Newport Area. They are 18 kilometres and 18 kilometres away from the city's main streets. Wotif also suggests the Lighthouse Inn of Galilee and the Atlantic House. The first is 20 kilometres away from the city, while the other is 20 kilometres away.
If you'd like to experience some close by localities, try Hopkinton and Historic Wickford Village. Journey 10 kilometres to the southwest of Wyoming and you'll find Hopkinton. That said, Historic Wickford Village is 19 kilometres to the east. Accommodations in Hopkinton include the Budget Inn North Stonington and Stardust Motel. Historic Wickford Village choices include the TownePlace Suites Providence North Kingstown and Budget Inn North Kingstown.
Hotels in Wyoming start at AU$107 per night. Prices and availability subject to change. Additional terms may apply.