Yeah, someone finally came around and checked their mail and made the phone call for me. I pretty much don't call anyone, it's all email and online chat through stuff like Google Hangouts, and all my friends have things like jobs (that's crazy! people working? ;-) ). I was just hoping for some sort of other option so I could do the call myself. I think it's ridiculous that there's no international online relay.
I don't even know if this hotel has a physical TTY available, I should probably ask but the hotels in the US often don't have them. For instance the big hotel I stayed at recently in Denver has the pool with a lift for access by those who use wheelchairs, and so did the smaller hotel (a Best Western I think) that I stayed in near the airport in Dallas when my plane was canceled due to weather, and I would suspect they had TTYs. The cheaper random hotel I was in overnight while driving to Canada couldn't even provide the right remote to get the captioning to work on the TV so I doubt they would bother to have a TTY. I would also be a bit afraid of the cost of an international call from the hotel phone.
It's good to know (I guess) that I couldn't have made the call using my computer alone. At least I know I missed out on my appointment because I didn't miss that there's an international online relay. The appointment, alas, went to someone else.