It’s been about 3 years since I flew into Manila with a tripod bag, camera case and a pelican full of miscellaneous gear. I did have a list of all of my items and their serial numbers. I had no carnet. I’ve had some issues in Bolivia, but the Philippines was no problem. They basically had no questions. The only problem was that for some reason my flight from Tokyo landed at the domestic terminal, rather than the international. My ride was waiting at the other terminal. My cell phone didn’t work. Luckily I knew what hotel we were going to be staying at. Fun times. Good luck with your production.
JPD