how much controll do I have of fruiting times if my grow room is uninsulated?

My "house" is an uninsulated, aluminum sided garage with a room built in the corner. Lots of space but not a lot of climate contoll. I fantasise about buikding a greenhouse inside so that I can controll moisture and growing mushrooms. While I could contol moisture this way, I cant regulate tempature. I know that dropping the tempature is part of what triggers pinning but there are other factors (light) and methods (dunking) to acheive pinning.

Id like to be able to trigger fruiting on off seasons so that I.can get premium market price. Without an insulated grow room, is this going to be practical?

I am trying to do the same. I set up row covers bent from 1/2 metal conduit to make humidity tents, and use cheap home depot plastic drop cloth. The super thin stuff that is supposed to be single use lasts a long time when not exposed to sunlight.

Refrigerators and ice are two ways to cool a culture enough to initiate fruiting. Put a certain percentage of the crop into the fridge each week for continuous harvests.

Or grow varieties that don't require cold to initiate fruiting.

Depends on what you grow and where you are. Blue oysters will fruit pretty much year round. But obviously nothing much grows in the dead of winter. you really need an insulated and climate controlled space if you want to grow year round. And you might need to switch from cool loving to warm loving species to keep costs down.