Yes, with your history, I would eat regularly even if not hungry.

My family has eating disorders up the wazoo and I think of it a little differently. Our bodies are very, very good at flipping into the hunger high, so much so that we do not get bad signals of hunger like other people do. Result, not eating enough.

In our family we have had anorexics, and bulimics (both purging and non-purging). Everyone reports easily going without food.
What eludes us is keeping up with steady good food without having excess restriction (which ends up hurting us long-term).

So I'd do what Liz53 said, except I would be careful to YES include target amounts of protein, carb, and fat, because it's too easy to undereat if we just "go natural. "