Do these work well in Dumaguete given a decent internet bandwidth? Sorry if this is a repeat, but I searched "Apple TV" and got every post that had apple or tv in it. Then I searched the same but in quotes and got nothing.
A lot of the TV streaming stuff is "not available in your country". They figured out Netflix in the Philippines a while back ago (not sure if it shows any of the stuff from the US or just Philippine crap TV shows), maybe Amazon and Apple also worked something out as well. I know Google's "Play Movies" doesn't work in the Philippines (or Afghanistan) yet. The problem in the Philippines hasn't really been the internet speed for me, at least on the lower quality settings. The sh*t data caps are what kills you. Side note: Google's Play Music is available so maybe that is a sign that the movie/TV stuff will get worked out soon as well.
Regarding Apple TV. It depends on what you use your Apple TV for. For me it is almost completely a streaming device from my Mac. Meaning the thousands of movies, songs and photos I have on my Mac and attached drives stream to my TV via Apple TV. That will certainly continue to work via wifi in the Philippines. You can also change your itunes account on any device to a different country - in this case the Philippines. I believe this means you can continue to buy songs and other content via itunes. Now does the Philippines version of the itunes store have the exact same content as the US itunes store - I doubt it, but haven't compared. Now as far as other streaming services supported by Apple TV, I don't have any experience.
A Canadian friend told me about Kodi download. If your speed is fast enough it has a lot of tv,sports and movies. Apparently you can go on youtube and get instructions to add more programs. Sometimes it works for me and sometimes not so good.