It seems that Kobe beef restaurants have exploded in the past couple of years in the area north of Sannomiya station, downtown Kobe. I suppose fueled by the sharp increase in tourism lately. My sense is that they're a bit cheaper than in the past, possibly because of competition. This web site reviews some that show prices in your range. There must be 50 or so restaurants selling Kobe beef within walking distance of the station.
https://savorjapan.com/contents/more...led-greatness/