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Which CS6 update do you have?
I'm using Creative Cloud, ver 12.1, build 5949 on Win and I can see this:
Insert > Media > Edge Animate Composition (Ctrl+Alt+Shift+E).
The trial version receives updates just the same as the purchased version, so you should be seeing the option to insert an Edge Animate composition in Dreamweaver under Insert > Media and in the Media section of the Insert panel.
If you do not, please check what version you have installed as Nancy suggested. You need 12.1 for this feature.
I spoke to a tech online who was clueless! I spoke to an online chat tech who said you can't update the trial version. I don't really want to spend $49 a month just to be able to insert edge animations! I found a way to insert them within the code but when I insert a second animation it doesn't work! Very frustrating! Considering finding a different animation software! Open to suggestions?
Please do confirm if you are using version 12.1. It may be easier to add your animations into Dreamweaver if you can use the option under Insert > Media.
You can certainly add your animations to your page directly in the code, but it requires just a little bit of work in the code to make it work.
Essentially, you just need to make sure each animation is given a unique CSS ID. (i.e. instead of them all being "Stage")
See a super-simple example I have here: http://thetraininggrounds.com/An-test/end-trigger-second-an/combined_a n.html