Hi
The Archives people seem to have been very helpful. Could I suggest that you try Welsh Newspapers Online - digitised copies of various newspapers in Wales, up to 1919? I've tried Glenroy and Llandudno in searches there, but a quick look doesn't produce any matches. Worth a bit more digging, I would imagine, as there were lists of people staying in Llandudno, and where they stayed, so holiday apartments might be in there somewhere.
You can also try British Newspapers Archive, but you have to pay to subscribe to that. Maybe someone can trawl that for you?
Best of luck, and do let us know what you find!
T