I believe Monster.com allows you to do this; there is an option to hide your contact info and only allow recruiters to contact you through the site. This is ost

I believe Monster.com allows you to do this; there is an option to hide your contact info and only allow recruiters to contact you through the site. This is ostensibly to allow you to apply for new jobs without being discovered by your current job. I would imagine many job sites provide this feature.