Although some studies suggest that is is possible to increase muscle mass on a very low carb diet, the strong majority of anecdotal evidence suggests otherwise.
I think you would be best served by evaluationg your goals. Divide them into three categories: gaining mass, losing fat, and maintenance.
As these are three seperate goals, they will require three seperate plans. If you want to increase your mass (and, in your post you did say "max muscle growth") you will most likely have to increase your carbohydrate intake. If you are as carb intolerant as you say, then, yes, you may put on some fat. And?
After you gain a decent amount of muslce, diet off the fat you've gained. That's an entirely different goal. It is indeed the rare individual (or new trainee) who can increase LBM and lose fat mass at the same time.
However, certain compounds, such as Mag-10, will allow you to overeat and put on dramatically more muscle with less fat gain. Look into the Massive Eating Plan, along with the Growth Surge Project for more information like this.
I know it's likely not what you wanted to hear, but generally speaking most of us genetically average mere mortals have to cycle between bulking and cutting. Hope this helps.