Apartments For Rent In Sugar City Idaho . Apartments for rent in sugar city, id; Each apartments.com listing has verified availability, rental rates, photos, floor plans and more. 431 S Idaho Ave, Sugar City, ID 3 Bed, 2 Bath SingleFamily Home 23 from www.trulia.com The average apartment rent in this area will cost you $1,395. If you’re looking for apartments in sugar city, id. 247 n 2nd w unit 2, rexburg, id 83440.