In this recording I sing the complete Hallel using the following tunes:
Ma Ashiv - Maoz Tsur (mzmoum)
Halelu - LeDavid shir Umizmor (sahli)
Min Hametzar - traditional (sahli)
Pithu Li - Am Neemanai
Many Moroccan Jews sing the Ma Ashiv to the tune of Maoz tsur all year around. So you can use this Hallel as your go-to and just change the tune of Pithu Li, since Am Neemanai is specific to Hanukah.