You want to use Bitcoin to make international payments without headaches... so you open an account on a custodial service? I don't understand what you expected to happen.
All you had to do is download a wallet and transfer your Bitcoin directly.
That is correct. I don't want to hold BTC at all. I want to purchase and send. Period. As a business, I just don't want the headache, which my accountant says I will not have if I merely use it as a transfer medium.
That doesn't seem correct. It's pretty simple to buy BTC on Coinbase and then transfer it to another wallet. Then you can do anything you want with it.
All you had to do is download a wallet and transfer your Bitcoin directly.