Well, my credit card company can't see any more credits than I can, unfortunately.
As I said before, normally I'd think that the LDS owner was lying, but I'm pretty sure it took a while for the first credit to be reflected on my statement, so I'm waiting to see if this is the case.
The owner could've taken care of all of this with one simple fax, but hey, that would be awfully out of character, I suppose.
I have been in contact with the dispute department of my credit card company. The very nice lady that I've been speaking with has told me not to worry, that I'll be able to dispute the charges, and have a fair investigation into who owes whom.
Basically she and I agreed to wait until Tuesday to see if anything is posted and/or the owner presents me with any proof. If nothing by then, she'll begin an investigation first to determine if his bank has sent funds to my credit card company, if so, no big deal, she'll get it taken care of. If not, then we'll go into the process of actually disputing the original charges and having someone decide what a fair resolution is.
So, while I'm not worried about getting all of this resolved, I am still amazed and irritated at the time and effort I've had to invest in all of this.
Oh well, that's the way the cookie crumbles, I guess.