Location. The Fairfield Dubuque is located in Dubuque, Iowa. Three miles from Dubuque Arboretum and Botanical Gardens Four miles from Dubuque Diamond Jo Casino Less than seven miles from Mathias Ham Historic House Hotel Features. Complimentary continental breakfasts Complimentary wireless Internet access Indoor pool and hot tub Guestrooms. Cable television Premium bedding with feather pillows Complimentary high speed wired and wireless Internet access