It would make sense that the body would do that wouldn't it? But it's actually not that simple:
"Obesity and dietary plant sterols were negatively associated with fractional absorption of dietary cholesterol in a random population of 63 middle-aged men. Absorbed dietary cholesterol increased linearly with the increase of dietary cholesterol intake. The higher the fractional and absolute absorption of dietary cholesterol the lower the rates of biliary secretion, fecal elimination, and cholesterol synthesis. The findings also revealed that high serum levels of total, LDL, and HDL cholesterol were associated with high cholesterol absorption and that of HDL cholesterol was associated also with low synthesis and fecal elimination of cholesterol. Thus, cholesterol absorption efficiency and absorbed dietary cholesterol significantly regulate cholesterol synthesis and elimination and are important determinants of within-population variation in the serum levels of total, LDL, and HDL cholesterol."
Cholesterol is still very poorly understood. Sure we know a few things it does, and we know an enzyme we can inhibit to lower levels. But even the medicine we use inhibits MANY other molecules such as cell anchoring molecules, which are of dire importance (why statin = myopathy). Anyways, IMO eat your normal diet (normally high in cholesterol) and go to your doctor after several weeks and have your levels tested. This is the only sure fire way to know for sure.