You may have distant views of the 3 Sisters depending on where you are staying on the resort property. The property is located about 30 miles east of the range.
Our room overlooked the golf course...not sure which direction we were facing.
The west-facing lodge rooms on the 3rd floor are the most likely to have mountain views. I had an east-facing room on the 1st floor, and it definitely did not have mountain views. If you rent one of the homes at Eagle Crest, I am sure there are some with mountain views.
Some of the rooms or cabins do have a view of the mountains. There is also a view of the golf course.
Get an answer from The Lodge at Eagle Crest staff and past guests.