The best time to search for a new job is when you have one. Takes a lot of the stress out of search itself, though it sounds like your current job may be able to make it up.

There's a lot of companies out there. Many of them are doing useful things. I've worked in security for a long time; not as a "security expert" but for a company doing that. While I'd rather live in a world where we didn't need security companies, and it sucks that it's a problem, it's also something I know is actually contributing to the world, even if that contribution is solving problems that shouldn't exist. There are other companies doing useful things.

It may take a while to find something better but it'll take less time if you're looking than if you aren't.