Can signature be made optional on per comment basis

Is there a way that my site's users can set up a signature using this module, but have the ability to select when to attach it to a post and when not to? There are times when a member might want to ask for help/assistance/knowledge anonymously in our forum. If they could not ask anonymously, their question could possibly reveal information about the job they are bidding on or could be used against them in a bid. Our members also don't always want to "air their dirty laundry" in public for everyone to see, thus revealing weaknesses of their company. We don't want our members to be afraid to ask a question. Our goal is to help them learn.

Is there a way to do this with this module or are there recommendations on how I could best handle this?