Look on the net or go to a medical device supply store. They maake portable Insulin coolers. They range from 70.00 or so on up over two hundred. More you pay the better the unit. They will run on ac or dc plug in car and will hold insulin cool or cold for a number of hours.
I beleive they have room for some syrnges and strips. Meter won't work if it is too hot either. I don't know if one of them would hold the meter and jar of strips too.
Mine get hot too and have to be let cool down to use. Haven't seen any effect yet but never left strips in car for more than hour or two.