In order to work within a university in Taiwan you will need at least a masters degree. There is also pretty heavy competition for positions in universities so you will have to join the pack.

You may however be able to get a job at one of the private institutes that co-operate with and work within the university grounds or nearby. These jobs are not university teaching positions but the students are of course all university level. Again there is not many of these types of positions available but they do exist.

You could probably do worse than to check out Scott Sommer's weblog. He works at a uni in Taiwan and he keeps abreast of positions and politics of his and other universities in Taiwan. If he can't help you then I am not sure who can.

Finally, I think that it is good that you have decided that teaching kids is not for you. The money is good, but if it is not a good fit for you then it is likely that you wouldn't enjoy yourself which would lead to further problems down the line.