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You could always try a cap for each level of league..
Just like cap tournaments, you control your deployment, but the total OVR is capped:.
Rookie, Stone & Iron - Cap of 1,500 (~59/card)
Bronze - Cap 1,800 (~69/card)
Silver - Cap 2,100 (~79 card)
And so on to Perfect, which has no cap.
If you pull a 100 early on, you can use it, you just need to compensate with some slightly lesser cards. It will also get some variety in the leagues, so Jeff Bagwell doesn't always just edge out Jeff Bagwell and Jeff Bagwell for MVP.
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When you let your 10 year old name the team
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