There is not much more we can do than "try to keep it cool" (and the shipper then knows use of dry ice is an option). Temperature control during flights is usually nothing more than 10-25° range realistically. If we are talking long distance transport, you have to realise the container might pass Anchorage (freezing cold) or Dubai (hot hot) where the container will be offloaded and might be sitting on the apron during turnaround. Transporting horses requires sometimes cooler temperatures on the main deck, 10-15° might already be a problem and takes a while on hotter days.
But to be honest: you don't really transport "delicate medical equipment" without the shipper being notified about it. It's usually mentioned somewhere in the dangerous goods section, so there is a requirement to report it to the shipper. Temperature requirements are always a pain in the ass. For really temperature sensitive cargo, some shippers provide containers with temperature trackers.