Your doctor is basing everything on really old research, and he has a lot of catching up to do. I know you won't want to listen to "some guy on the internet" but I highly recommend finding a new doctor who is up on the latest news, not one that will encourage unhealthy eating and will eventually put you on statins leading you to an early death. At least open your eyes to it, and decide for yourself, because your doctor is leading you down one path you may not want to take if you know the end result.
And please, for the love of life, do not go to the AHA for health advice.
You should read
this, which I think is an excerpt from Dr Gary Taubes' book. It basically focuses on how the whole "saturated fat is bad for you" myth got started.
Dr Taubes also wrote a very long
column for the NY Times, and you should read the entire thing.
Also you can read
this published paper, from Drs. Sally Fallon and Mary Enig
I also think you should read
this funny blog post, because it somewhat relates to you (a guy with high cholesterol who doesn't follow his doctor's advice, and his doctor can't believe it). He eats a diet of 70% fat, has a family history of heart disease (his brother died and his dad had major heart surgery) and when they did a heart scan looking for plaque, they found... Well I won't give it away. But his doctor told him "that's impossible!"
You can also watch this short video:
http://www.youtube.com/watch?v=i8SSCNaaDcE
which uses latest WHO data to explain that there is literally no connection between cholesterol levels and heart disease.
As far as "good cholesterol", you can't just look at numbers. There are two important parts to look at: The ratio of HDL ("good" cholesterol) to LDL ("bad" cholesterol), and the ratio of "good" LDL (larger particles, easy for our body to shuttle) to "bad" LDL (densely packed, sticks to surfaces). The best way to do this is eat a lot of natural saturated fat. Animal fat, coconut oil, etc. Yes, those things contain LDL, but the LDL they have is "good" LDL, so is not a problem at all. And the amount of HDL they give you far outweighs any bad aspects. In other words, they increase your cholesterol, but put your ratio of good-to-bad back to a healthy level. Hell even in Fat-Head, the guy ate McDonalds every day for a month, 3 times a day, and the doctor couldn't believe how good his cholesterol was
(his triglycerides were not great though, from all the fried he ate).
So don't worry about cholesterol if it's coming from good sources. Eggs, meat, saturated vegetal fat. It's all good! What you need to do is cut down the sugar from your diet. And if you are using "vegetable" oil, such as corn, rapeseed (canola), soybean, etc. STOP NOW. That it what's going to kill you, not a couple of eggs a day