Still I don't see an issue - basically you either pay the armed coast gard cutter that stands in your way or you don't go through the straight. If you don't cause any trouble, the other cutter on the other end will pay you back. No money, no transit - unless you really like being boarded.
Regardless of what specific rules could be set you have to consider rules of engagement and potential escalation. What happens if a Russian merchant vessel (either legitimately flagged or shadow fleet) refuses to cooperate? Do you use force to stop them? What if they're being escorted by a Russian warship or combat aircraft?