Eating a lot of eggs will only cause you a problem IF (and only if) you have a problem with sensitivity to arachidonic acid which is found in egg yolks and red meat. It's not the cholesterol in those foods that causes the problem, it's your body's reaction to the arachidonic acid.
Your body produces the majority of the cholesterol in your body and studies have shown over and over that dietary cholesterol has very little affect on serum cholesterol.
I'd say enjoy your eggs, but consider adding more variety too.