Chiemsee recommendations?

I think that finally (almost….) the ‘management committee’ have agreed where we are going this coming summmer…. We are looking for recommendations for sites around Chiemsee, ideally not too big - (we don’t need swimming pools and all singing family ‘stuff’), dog friendly. Any suggestions welcome! We are regular travellers into Germany and often drive past the area on our way elsewhere, the idea of exploring the lake and its environs appeals.