Not a lot of options for Minato. If you don't like auto barrier, you could try using normal Gaara (preferably with breakthrough). Minato+Gaara+Kurenai+Wind; another option is Kushina instead of Minato in the same team. There are some variants with Gakido also, but I assume you've tried that already.

If you ever get Madara [Founder], you could try the team below (stack initiative on main):