Hi tnsigger,
As all insects, when the temps cool down, you don't see them anymore. If your shop is cold (temps under 10°c /50°F) , you're safe.
The tree are dormant. Are you planning to keep them dormant, or to wake them up ?
If you get your trees growing (temps above 20°c/ 68°F) , then you'll be hunting gnats, I guess ...