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What does the agreement say in terms of who chooses the arbitrator and does it call for mediation first?
Then you can look for an arbitrator yourself, first, and meet with the arbitrator. Show the arbitrator the contract and ask if the arbitrator can arbitrate for this matter.
If the arbitrator agrees then the arbitrator will suggest how to let the other party know that you wish to go ahead and arbitration your situation.
You can find an arbitrator here. You may have to hire someone in a close by but larger city:
I hope that helps as a starting point.