I've done the same as you, and got a 60W 1ft tube heater in my fermentation fridge. First brew with it has been successful - a best bitter fermenting at a steady 18 C. I was also hoping to get it up into the 30s to do kveik. I wonder if there is any way to override the cut-out... (or is this just asking to burn down the garage...?)
Don't know how you are measuring/controlling temp but you could stick a temp probe on the body of the tube and implement your own cutout. The silver DS18B20s I use work up to 120c which gives you another 30c.
With no thermal cutout I imagine they might get a bit toasty.
(There's no thermal cutout on a 40w bulb )