Hi Lady Arden!
Most green tea ice creams are made with matcha, and the same goes for your green tea (cough!) Frapp.
The good news is that matcha is the healthiest tea you can drink (actually, eat), because you ingest the whole leaf. You can make these recipes at home very easily if you've got some decent matcha around. Decent, true matcha is very labor intensive to make, and thus is more expensive than most teas (except for most of my oolong stash), but the grade you need for ice cream and drinks is not as cost prohibitive as the ceremonial grades.
Usually, when I get a craving for green tea ice cream, I'll just mix a couple of teaspoons into a high-grade vanilla ice cream. My kids love it. Matcha smoothies are a hit too.
Feel free to email me at firstname.lastname@example.org
or go to our website and download our catalog at www.essencha.com
if you'd like to learn more about matcha and see our selection.