Welcome to HBT Sam!
While yeast has a recommended range, it's usually pretty wide. I'm sure there are some yeasts that don't like it chilly but I haven't found one yet. I'm in the same boat with the cool basement thing but I have not had any trouble fermenting. I think my brews are probably better for fermenting on the lower side of the range.
When it gets much colder it's a little different story. In the dead of winter my ambient temperature can get to the mid 50s. During that time I run a oil heater to get the temperature up a few degrees. The heater only raises the temp to 60° or so. It just enough to keep the yeast happy.
Batch 1 Brewing
The American Revolution would never have happened with gun control.