Difficult to answer.The thing is wifi range depends on many factors like design of house,construction material used,nearby sources of interference(electrical & wifi) etc.A well performing wifi router in one place may not work as well in another place.However usually it is recommended to get models with external antennas(E1200 lacks these).If possible try to get some 2 antenna N300 wifi router from friends/relatives to test by replacing E1200 & see whether a range extender can be removed.
P.S.8k routers are bought not for range but for speeds to perform tasks like full HD streaming over wifi to nearby multiple devices.