FWIW, I've had a lot of luck by first analytically learning about J語 pronunciation. It's a lot subtler than just "2 tones" and it's even reasonable to develope the ability to predict the tonal contour of an unfamiliar word.

The main source I've used is 日本語アクセント入門 by 松森晶子. It's primary focus is on Standard Pronunciation, but there are lots of good illustrative tidbits that incorporate examples from other dialects as well.

Highly recommended!