玉造温泉で風情ある内風呂が楽しめて、観光にも便利な宿は？

夫婦で玉造温泉へ行きたいと考えています。宍道湖が近く、玉湯川など風情ある温泉地と聞いたので、泊まる宿も風情ある内風呂がある和風の宿に泊まりたいです。おすすめを教えてください。

Where can I stay in Tamatsukuri Onsen Onsen with a Japanese-style room and budget under 20,000 yen per person?

I'm going on a matchmaking trip to Izumo Taisha Shrine with a female friend. I'd like to stay at Tamatsukuri Onsen, which is known for its skin-beautifying hot springs. I want to relax, so are there any recommended inns with Japanese-style rooms? I'm thinking of keeping the budget at 20,000 yen per person. It would be even better if there was some kind of plan that supports girls trip.