Hi Ian, sorry for late reply
For me it sounds, that you have a cantact problem at hot temperatures. It is possible, that the attennuation and contact resistances of your connectors can rise, due to different thermal expansion coefficients of the components in your connection line. Loose connector screw-shells can increase the effect. If low quality connectors (very thin gold plating) are used, fretting corrosion can occur on the contacts. This can result in a temporary partly or complete loss of connection. If it is fretting, the contact loss will finally get permanent.
I fear that you have to get on the roof to check your connections. But I would use the bottom down method. Means start at the box and end at the antenna.
HTH Ingo