Eggs – Does a mayonnaise have longer shelf life with egg white only as opposed to yolk

Well of all your listed ingredients the only two that can really 'spoil' are the fresh basil and fresh mint. Honey never goes bad, and nearly any dried spice can last for a long time with just a degradation in flavor.

I'd say that if you washed and dried (sanitarily) your basil and mint before addition to this mix that you could get at least 1-2 weeks out of it unrefrigerated, and at least 1-2 months out of it refrigerated.

Please note that this is just a ballpark estimate and you may have to do some trial and error to determine a more specific window. That said, I wouldn't be surprised if you could get a significantly longer shelf life out of it than my estimates.

Update - I think the presence of salt does enough to "extend" the life of it.

Another Update - Some Googling has informed that honey is in-fact a preservative. Apparently honey is a rather hostile environment for bacteria due to the production/presence of hydrogen peroxide.

I still think my estimates are accurate, albeit a little conservative now. The best thing you can do is trial and error.

Sources:

http://www.entrepreneur.com/tradejournals/article/132772675.html

http://natural-products.suite101.com/article.cfm/honey_as_a_natural_preservative

White sugar was commonly used as a preservative in the past, in much the same way as salt. It's wildly hygroscopic (like salt), and an excellent desiccant, so if you packed something in it, it would accelerate the drying process. This is actually the origin of fruit jam and fruit preserves, which are still common today, even after better methods of preservation are available.

Salt was more common simply because many things like eating/living in WET sugar, so you had to be careful with how much water was in the thing you were trying to preserve. But as long as the sugar was dry it's an extremely hostile environment for bacteria and little crawly things.

Kept dry, it will last forever.