Basil is the sort of strong smelling and tasting herb deer hate, but-- we've all seen how adaptable deer can be.

Yep. Every time I see a nice open place I imagine it with plants on it, gently harmonizing with the landscape.... And then, as the record screeches to a stop, I have to imagine them surrounded by a high deer fence!

They don't eat artemisia, yarrow, digitalis, convallaria, aconitum, astilbe, pulmonaria, ferns.... yes, there are a few things you can grow.

Well, you're right, oldroser, I'll have to learn more about what they'll leave alone if I'm to garden successfully here. Part of is that I enjoy growing edibles, and I don't eat those things either!

You need a fence if you are to be successful, NYgardener. LOL.

Only if they're in the mood for Italian!

Actually, they might not like it, but will have to eat half your plant before deciding this.

http://www.sunset.com/garden/garden-basics/deer-proof-country-garden-00400000017025/
This article has 2 of the best fences for keeping deer out of gardens.