In my opinion,
If your cowboy minister is going to be looking for donations, he should incorporate as a 501-C-3.
He should have articles of incorporation, a board of directors, and a set of bylaws.
Every 501-C-3 should make their finances public. First of all, they should have published their mission objectives, and then they should show how donations are achieving those objectives, including a financial report.
As for ordination, it is odd that ministers have to seek ordination from complete strangers. Somehow, that just seems off. Are there no ministerial organizations operating in the cowboy community that would recognize the calling and then ordain this person?
I do believe strongly that ministries need to be accountable for their finances. And, I believe there needs to be a reasonable system of accountability in place (and I don't mean a board of "yes men" or family members.)
This is partially why I question ordination by a ministry in a far away location that doesn't know the minister or has no ongoing relationship in his ministry.
A few thoughts off the top my head.