That's kind of a touchy deal. With high humidity the woods wont burn near as good but if it's too low you will burn every thing in sight.
In general I haven't see a problem burning oaks around the base unless it like post oaks where a lot of times they are hollowed out. With our big live oaks that go to the ground they will catch some times and top out. It's pretty wild and usually puts a lot of embers off. If trees are close to the perimeter we will shred or disk around them so we domt have to worry about embers leaving the burn area. I can not say that I have seen a healthy tree that got burned, not come back. They usually always green back out nice. If you had a bad drought or some thing it might do them in.
If its trees you really care about, it not a bad idea to at least shred around them to keep the flames down low and/ or trim the branches up so it doesnt jump to the limbs.
In all honesty I reccomend to every one who is going to burn to find one of these burn guys that specialize in it. There is a class where you get CPU hours like the pest/ herb license just for burning. We have a local burn association that will provide one of these guys to help with the burn. You might check your area. They just ask for a donation back to the organization. IMO, theses guys are worth every penny. There is an art and science to burning. We did it a couple years on our own and made it work but we have gotten a lot better results and it's been a lot safer, easier going, having those guys there to assist. There are different methods for brush, trees, grass, different time of years depending on what your going after, etc. These guys also make burn plans and submit them to the local agencies along with carring insurance which all helps if some thing goes wrong. If you burn enough, eventually some thing will happen and when you have all your ducks in a row it goes a lot easier. They can also help with getting you money from the NRCS office. They also bring along good tanks with pumps and sprayers that can go in a truck bed or on a utv at no cost.
Dont skimp on help. Just having a couple guys on utvs or atvs with 12v sprayers and water can make all the difference.
I know I got off topic but I'm a big fan of burning pastures.
I'm hoping to get my certification also this next year.