It depends on what kind of accommodations you are looking for. For a romantic stay, you cannot beat Glenlauren Inn. Here, they have breathtaking views and you get a choice between rooms, suites, cottages, and cabins. There is an on-site golf course and a number of in-room amenities. 
If you want something a bit more simple, Holiday Inn Express Logan is a good choice. It is literally a quarter of a mile from Lake Logan and near many explorable caves. There is also an indoor pool, whirlpool, high speed Internet, and kitchenettes.