There's nothing wrong with egg whites.
There's nothing wrong with whole eggs either unless you have high cholesterol AND are a hyperresponder to dietary cholesterol.
However, its easy for egg yolks fat to increase your total calories.
Thus its very common to have a lot of egg whites with just a couple yolks to add flavor and texture.
Better yet...check your store for Omega Eggs. These contain omega fatty acids, including omega 3. They feed chickens a lot of flax seed with their normal feed, which results in it being passed into the yolk.
They taste normal, tho the yolk is every so slightly more orange than the regular yolks.