I would be as concerned about the condition of a sight-unseen, un-inspected, no test ride, and clear title and bill of sale bike, as I would about the money exchange. In the past year I have purchased a jeep, truck and bike from total strangers from long distance.
Two were titled in my home state (Arizona), the bike was titled in Montana. I have accounts in two banks, and all three sellers had an account in one or the other that I had. Me and the buyer at the teller window, I withdraw the cash amount and the teller counts it out to me. I pass it to the buyer, the buyer hands the cash back to the teller with a deposit slip, and the money exchange is complete. At the same bank the notary for the bill of sale and title are performed. I was familiar with the Arizona titles, but the Montana title I did a search online and called the DMV to confirm a clear title in the sellers name. Was that the absolute safest way? Probably not, but it worked for me.
In all three purchases I was present. With the truck and Jeep, the wife and I made a day trip to purchase and buy. In the case of the bike, I did a one-way rental car and rode it back. All three turned out to be good buys, but there is still plenty of chances to get burned.
In your case, how does the seller want to exchange the money?
Edit: Forgot to add, I also purchased an airplane using the same process.