Temperature won't be the problem unless you are an eskimo.
Humidity on older projectors can be a real killer espcially if it has a build up of dust which will absorb moisture and could cause the EHT to jump and take something out.
Barco quote the specs as
-30 to 65 stored
0 to 95% non condensing.
CRT Projectors like to be worked they need their batteries and capacitors charging regularly.