You know, there isn't a person on this thread who hasn't seen the "rules" broken with no consequences. A buddy of mine years ago epoxied 1/4" thick redwood burl to 1/2" steel plate with no ill effects; my supplier reminds me every day that my loud proclamations of failure of the maple countertop he screwed fast to a cabinet were wrong.
Still, those are exceptions, flukes. The rules exist because of millennia of collective experience, backed by cold hard science. With respect to your plan, I would expect the burl to crack with either adhesive. I don't think there is enough meat there to twist or lift.
But if you have to do it, and it sounds like you do (been there, batting about .250 :) ) I would want to use the adhesive that has the most open time, and the one I had the most control over in terms of application. I would trowel it on with a shopmade trowel with 1/16 notches. I think your idea of sealing (not really a 100% thing, of course) all six sides before glue-up is smart. I would want to be thinner than 3/8, too. Then I would do a ton of testing. When I have weird stuff, I make up as many samples as I can and throw them in the fridge, the freezer, on the roof, out in the grass.
Personally, I'd never do it for money. But I also understand the need to go for it sometimes. And maybe the customer is willing to sign off on liability. So if you do, at least report back and let everyone know what happened. If it works out, I for one would like to stand around with you and scratch my head over it.