You can create several rules. Each rule has own restrictions and payment method list. If all rules aren't validate plugin will display all allowed payment methods. You can order rules.
Take one rule and open it. You will see main settings on the first tab. You can select start and end of the date, store list, customer roles and select payment methods if this rule is valid.
Open the second tab. You can complicated restrictions and add several restrictions in one group.
You can add restriction using billing and shipping address.
You can add restriction using checkout attributes.
You can add restriction using order amounts.
You can add restriction using product specififcations.
You can add restriction using shipping methods.
You can add several restrictions.