Which method is better for custom challenges?

Time wise which is the best method? Using the target locator or doing firefight matchmaking?

Campaign:
5,000cR - 175 Elite Specialists on ONI Sword Base, Heroic, all skulls except Blind and Iron
5,000cR - 175 Grunt Heros on ONI Sword Base, Heroic, all skulls except Blind and Iron
5,000cR - 260 Jackal Specialists on ONI Sword Base, Heroic, all skulls except Blind and Iron
5,000cR - 260 Skirmisher Specialists on ONI Sword Base, Heroic, all skulls except Blind and Iron
5,000cR - 550 medals on ONI Sword Base, Heroic, all skulls except Blind and Iron
TOTAL: 25,000cR for a few minutes reverting / 20 minutes AFKing.

Firefight:
7,648cR - 120 Grunt Infantry kills
10,000cR - 120 Grunt Hero kills
10,000cR - 120 Grunt Specialist kills
6,373cR - 250 headshots
TOTAL: 34,021cR, on top of regular game completion, for 3-4 games of Gruntpoc.

Also what if I go over the daily credit(200,000)cap?

From what you’ve suggested, Target Locator (but that’s not really sporting). Note that under normal circumstances Gruntpocalypse doesn’t score that high, it’s only when 343i put on the occasional 5x bonus that you’ll get that level of cR return.

Without the bonus you’d get the following:

1,275cR - 120 Grunt Infantry kills
3,825cR - 120 Grunt Hero kills
2,550cR - 120 Grunt Specialist kills
6,373cR - 250 headshots

If you optimise your Grunt targets, use Medals instead of Headshots and turn-in completed challenges after 2 games and recreate them, you can get over 50,000cR for 4 games when the 5x bonus is active.

If you go over the cap you won’t get the extra cR. I’ve heard that if you do challenges offline and exceed the cap, when you go back online your cR will reduce back to what you would have got if you’d been online all the time. Don’t know if anyone can confirm this though.

Custom Challenges - The Guide
Part 1: A summary of how to create/submit challenges
Part 2: Specific Challenge Type details
Part 3: Constraints
Part 4: Miscellaneous notes and FAQ