I have LinkedIn email filtered out, but I still check it once every two weeks or so. Usually, I just respond with a relatively generic "Not available at the mom

I have LinkedIn email filtered out, but I still check it once every two weeks or so. Usually, I just respond with a relatively generic "Not available at the moment but thanks", and often add the recruiter as a contact. You never know when you'll need them, so I wouldn't completely remove your contact info.