Hi Shawn,
Welcome to the forum.
That is one of the things I do, but if you need to have temperatures under 120°F you may need to take extra steps. Such as add ice in the cabinet, but this often will have an effect on the draft. You can buy or make a cold smoke box, that detaches your generator from the cabinet. Since you have the digital model you would need to extend your sensor cord, and make or purchase a by-pass plug. Do a search for "cold smoking box" in the cold smoking sections. Other helpful tips are to smoke during the cooler parts of the day, if you can't do that make sure your smoker is in the shade. If the cabinet overheats, open the door to allow excess heat out, and/or probe the door slightly open using a #2 pencil or something of that thickness. This doesn't seem to have a significant effect on smoke flavor.