There are tons of Airbnb's in Colorado Springs (reception venue location) and even Manitou Springs (Garden of the Gods ceremony site location) if you choose to go that route for lodging and accommodations. But if you prefer a hotel, I found a few options below that would be great choices and close in proximity to the reception venue!
Hotel
Kinship Landing
415 South Nevada Avenue Colorado Springs, CO 80903 (719) 203-9309
My personal fav! This hotel is close to the reception venue and super cute aesthetic!
Hotel
Hyatt Place Colorado Springs / Downtown
201 East Kiowa Street Colorado Springs, CO 80903 (719) 635-9663
This hotel is also relatively close to the reception venue and very nice!
Hotel
SpringHill Suites by Marriott Colorado Springs Downtown
402 South Tejon Street Colorado Springs, CO 80903 (719) 900-1801