Question:
I know that according to the psak of the Shulchan Aruch the Sephardim (among others -- The Gra, many Kehillas in Yerushalayim including Chassidei Karlin, Chassidei Biyan -- I think) Chabad (in some cases when there is no shliach tzibbur making the bracha which I believe is their minhag) don't make a bracha on Hallel (chetzi Hallel) that is said on Rosh Chodesh. While I don't have a specific reason to think otherwise, is the same true for the Hallel that is said on Chol ha-Moed Pesach?
Answer:
The same halachah applies to Chol ha-Moed of Pesach. This is the custom among Sephardim; I don't know about the other groups you mention.
Best wishes.