Does LinkedIn have a specific option or setting for when you’re looking for work and want recruiters to contact you

To my knowledge, there is no all-in-one removal tool that is able to suggest who may be a good candidate to boot from your network (something similar to ManageFlitter for Twitter).

However, I can suggest two tools to assist you with trimming & organizing your network (which I personally use):

• InMaps: Visualizes your network and identifies clusters/sub-networks, and relative "distance" (relevance) of connections to each network. It allows you to easily spot "fringe" connections that may be not that relevant (or possible in reverse to be "bridge" connection to new clusters). And it is a part of LinkedIn Labs.

• MyWebCareer: More of an analytical dashboard-type tool (something of a Klout type). Also gives you a visual representation of your network which allows you to view sub-networks individually and indicating how a certain person is part of that network (current position vs. past position in a company). This can also suggest candidates for removal. However, in relation to your task it only be a complimentary tool to InMaps, I think. But it gives you some other functionality like giving scores about stuff, integrating Facebook and StackExchange-type sites into analysis.

Overall, I do agree that a smart network management tool is in order for LinkedIn. Let's hope it comes along soon!

You will need to contact LinkedIn in order for them to block your email address from being used.

You can contact them via their "Submit Your Question" page

_{Reference: Receiving Invitations when My Account is Closed: Why do I still receive Invitations when my account is closed?}