4064 is rather fast for the 270. As bore diameters get smaller, slower powders are called for. Big bores, like 375 and 45 require quite fast powders.
You want a powder about 2 steps slower. Some flavour or 4831 would be good, or RL22.
It would be good to avoid a mild primer, like the Federal. The standard Winchester (not the Magnum) is quite hot and would give you a reliable round with slow powder in cold weather.