So what I do now is not even worry about the order, but when the drinks arrive I strain out all the ice, to stop the melting and dilution process. Unfortunately I still see an appalling amount of ice displacing the volume of beverage.

Also, I have a beard, and so a straw is the best thing to prevent milk or soda or whatever soaking into my facial hair.

Currently I have a vast stockpile of plastic straws, because I usually order two drinks but use one straw. Mostly, the only sustainable, crap straws are the ones I've purchased separately.