I assume this is out of necessity? The 270Winchester case capacity doesn't need any more than a standard large rifle primer.
However, if you have the cases and you have the primers and can't find anybody to trade with....then I would look at spherical powders, perhaps W760 or H414? Many others too numerous to mention, just look at the burn rates, or as mentioned, hard to go completely wrong with extruded H4831, although the slower burning powders are somewhat neutralized by an overly hot primer.
Good luck. BB
It will require some testing to achieve optimum performance levels because all the previously published data involves standard components and this is/will be "moderately" unknown territory.