I trim mine to 1.750 before sizing for use in both Contenders and an AR rifle. Don't think you will have any problems with the short ones you mention.
Although the small base sizing die should not be necessary for your bolt gun, I don't believe it will cause any problems other than shortening case life a little.
The powder I am using is Accurate Arms 2200 Data powder for both commerical and military cases. It is a eastern bloc surplus military powder and performs pretty well in the .223 with 22.5 grain charge under 55 grain bullets. That is a little less than maximum and works well for me, especially during hot weather. Although I don't think it's available any longer, a little slower powder AA2230C is currently available but I haven't loaded any of that in the .223 as I still have a adequate stock of the 2200 designated for the .223.
The bullets I have been using are the Winchester 55 grains from Midway, both the flat base soft points and the boat tail full metal jackets. Primers are Winchester small rifle primers.