Courthouses in Basin, Wyoming, the US. Courthouses locations in Basin, Wyoming. Find the nearest courthouses locations, near you. All types of business services Accounting ATM Bank Courthouse Finance Insurance Real estate School All courthouses in Basin Big Horn County Drug Court Office Courthouse +1 307-568-2390 Basin, Basin, Wyoming 82410 Write a review Phone Directions Big Horn County Judge-District Ct Courthouse +1 307-568-2118 420 C Street, Basin, Wyoming 82410 Write a review Phone Website Directions