How about a system where some of the major categories become forms of party-skills (Team Artistic, Team Combat, Team Influence, Team Mystic, Team Outdoor, and Team Subterfuge). Whenever the party accomplishes a Major Party Goal, they get Ranks based on whatever the difficulty for the Goal was (0 for Routine, 1 for Light, 2 for Easy, 3 for Medium, 4 for Hard, ...). These ranks can be put into any of these Team Skills.
For each Rank in a Team Skill, the party is allowed to ... do... something.
Perhaps with each Rank in a Team Skill, they can do something per day or per session, like reroll something under that category whenever the group is attempting a group-based Maneuver (not attack, but a Maneuver), or come up with some Abilities.