The chain schools are pretty much the only ones that will hire from abroad. A large part of the reason they hire from abroad is because they can't hire people who have been here for more than six months. That should tell you something about what they're like to work for.
The only other options are outside the buxiban system, such as working for a government school, international school or university. Government schools and international schools definitely hire from abroad. I don't know about universities. Anyway, it doesn't sound like you would have the right qualifications for those kinds of jobs.
It's not thirty minutes from Taipei Main Station to the train station in Taoyuan. It takes about forty minutes by bus to get from Taipei Main Station to the edge of Taoyuan City, up near Nankan and the freeway exit. You'd have to allow another fifteen to twenty minutes to get to the train station in Taoyuan. Of course, that doesn't take into account that you almost certainly wouldn't be living right next to Taipei Main Station and you almost certainly wouldn't be working right next to the train station in Taoyuan either. There's commuting time there, and also waiting time. The buses theoretically run on a schedule, but they can be hit and miss. I used to live in Taoyuan about fifteen minutes' walk from the bus stop near the freeway exit. I used to visit my friend who lives in the southeast of Taipei (he's not that close to an MRT). Door to door, on a good day, it would end up taking me the better part of 1.5 hours. On a bad day (i.e. a lot of waiting), it could take two or more hours. I believe the buses come less and less frequently the later it gets, which leads into my next point.
Depending upon where you work in relation to the train station in Taoyuan, it could be slightly shorter catching the train or it could be a lot longer. There's actually no good way to get from anywhere non-central in Taipei to anywhere non-central in Taoyuan, despite the distance being relatively short (less than 30km in most cases). I like the transportation here on all other counts except the actual times involved. It's not just the north either. It's basically four hours door to door from my current place in Taidong County to my friend's house in Tainan City, and it's actually taken me six hours on occasion.
The other thing you need to consider is that if you do end up working for a buxiban, there's a high likelihood that you won't finish your classes until after 8pm. If you have to do any preparation or marking (maybe you could come earlier the next day instead, though you quickly find yourself spending half your afternoon and an entire evening every day doing that if you're not careful), this could stretch out to way after 9pm. There will also be times when they will spring stuff on you that needs to be done then and there and that you can't put off. Maybe you have the energy for it, but I suspect that if you finish work at say, 8:20 (as I used to at Hess) and get out the door by 8:25, you're still not looking at getting back to Taipei until at least 10:00, but probably anything up to 10:30 or 11:00 because of the bus schedule. At some point, you have to find food, and as odd as it may seem (at least in Taoyuan), for a place that supposedly has a food culture, finding decent food at that hour in Taiwan can be very difficult. So, realistically, you're looking at 11:00 or 11:30 before you can really begin your evening (and what does that leave, other than clubbing, because everyone else will have gone to bed?), and that's if you can be bothered after your four hour stint at your buxiban.
This plan of yours could get old really fast. I can't emphasise how important it is to not commute here, especially as a teacher. What appear to be short distances or commutes on paper end up being deceptively long in practice.
Either live in Taipei for the benefits it confers, but also accept the much higher cost of living and that you're probably not going to be able to save a lot of money (and will also have to compete against a lot more people for jobs), or live in somewhere boring like Taoyuan or Xinzhu so you can save money. You can't have your cake and eat it too.







