According to recent studies, shellfish pose no danger to cholesterol levels. The most commonly eaten shellfish, including oysters, crabs, clams, shrimp and mussels, showed no evidence of raising cholesterol levels. In fact, crabs and clams actually lowered the LDL levels. Mussels and oysters also lowered LDL, while raising HDLs.
One the other hand, nuts are high in fat content and calories. It's not wise to eat them in large quantities if one has a cholesterol problem.
As for the other type of fats, including coconut oil and some animal fats, it is important to point out the current research has not produced conclusive evidence so far.