I have taken them both in the past, and they are both GREAT publications. I now only take Trad Archers World, but the main reason is because I am a member of so many different orgs that the periodicals pile up far faster than I can read them. I can usually find the time to read one of the quarterly publications before the next one comes out.
I now go by the news stand and but a copy of TBM and Primitive Archer when I see something of interest.
Another one you may want to consider is a digital subscription to Stick and String. It's well done, and the fact that it's digital, I don't have a pile of magazines sitting around my chair irritating my wife!
Tim