Generally English ale yeasts are lower attenuating yeasts. There should be plenty for the Brett to "chew" on after the English yeasts are done. Brett will eat higher sugars that regular brewing yeasts won't. I would primary ferment it with the English yeasts as you usually would. Then add the Brett to a secondary, or you could just add the Brett and oak to the primary fermentation vessel after the English yeasts are finished. Try not to oxygenate the wort too much because you don't want a vigorous Brett ferment, as you had stated. Also, go with a Brett strain that is known to be more mellow, like Brett C. Don't use something like Brett. Lambicus because you'll get too much funk for what you're looking for. White Labs and Wyeast both produce what they call Brettanomyces Clausenii but most Brett-brewers agree that these are actually different species or strains. Wyeast Brett C. is also referred to as Brettanomyces Anomalus. You might have to do some research yourself to determine which of these would be more historically accurate to use for your braggot. The Wyeast Brett C./Anomalus(5151) is a special release strain, but it's due out in the April-June 2010 set of VSS yeasts and it's presently available here:
http://www.brewbrothers.biz/Expect a lower F.G. in the Brett-ed batch and save the oak when you're done. It will harbor the yeasts, mostly the Brett will survive best in the wood, and can be used as an inoculation "wand" in your next batch! Rather than oak chips or cubes, consider getting an OakBoy. It's a single piece of toasted oak, American or French, available from Northern Brewer. The benefits that I see are easier handling and less oakiness, which could be important since the braggot will be exposed to the oak for a while. Hope this helps!