I am not a Remo guy, but the Hazy Ambassador (snare side head) would give you a more Open Warm sound. Might not quite be what you are looking for on a piccolo. The Hazy Diplomat would be more neutral to the point that it would be affected by your tuning. then it comes down to this, the ambassador is 1 mil thicker than the diplomat, so take that to consideration. You will give up some of your pop with the ambassador, but the feel will be nice.
Hope that helped.
God Bless.