So I'm designing & typesetting a book in Newzald; and some Greek terms have come up. At first I was reasonably OK with Georgia:

But I'd love to find something that matches Newzald better, especially the color/weight. Plus, it turns out there's some more Greek in a different text, in which [at least my version of] Georgia can't display all characters. I'm assuming this is Polytonic Greek?
Using Lucida Grande:

.
There is not a lot of Greek, but I'd really like it to not be too jarring.
Can anyone point me towards a font that supports Polytonic Greek, would work with Newzald (think Fleischmann/Rosart, Transitional, narrowish vertical, relatively dark) and if possible doesn't cost an arm and a leg? I only need regular weight, but with italics.
Thanks for any help!