No really? to it. OP asked a question giving minimal information. Everyone, meaning everyone, has answered the question based on their perception of what the OP asked. I'm from FL and go through Lk Placid, FL numerous times per year. Prior to moving here, I full timed for nearly 15 yrs and camped from time to time in Lk Placid, FL. I gave my answer based on my perception and life experience.
All but two of those responding are from NY or the NE and, I presume, also responding based on their regional knowledge and presumption of what the OP meant. Nonetheless, since the OP hasn't been back, your and GeoBoy's GUESS as to what OP meant is still a guess. Maybe a better one than mine, maybe not, but it is a guess. The OP asked a question and I provided a valid answer so take a valium.
BTW, in several of the states that have an actual "Lake Placid", there is also a town named "Boston" and"on the way" would apply there as well even though OP didn't mention "on the way" as some sort of defining characteristic for his/her question. Nor did OP the OP define the question in terms of "former Olympic venue" "high peaks(really?? :))", "Adirondacks" or "tourist area" so not sure where you came up with those as pertinent to the OP's inquiry. :) :) :)