Added flavors don't go well with any tea
I get my Qi lan from Rishi teas, thats my main oolong right now.
But on the subject of green tea, you may have just been subject to the horrors of starting with Chinese greens. Chinese green tea is very light, and before dismissing all greens as being light, try your hand at a deep-steamed fukamushi blend of Japanese green tea. The Sencha fuka-midori from Den't tea would be a good, cheap choice for this.
If your green tea is turning out bitter, then you simply need to either reduce the temperature of the water you're using, or reduce the amount of time you steep the leaf. If steeped right, green tea should be mostly sweet, with a slight astringency if desired.