My agent handles nonfic, but if he passes on this, I want to send it out to others.
Color me confused.
If you have a contract with the agent (agency) and s/he handles nonfiction, are you bound while under contract to submit all your works to the agent? If so, and you are telling us that you want to know what to do if the agent passes, the questions is what
can you do. Well, you could terminate the agent under the boundaries of the contract and submit on your own to publishers and/or other agents. But if you did this why would you want to list the terminated agent in your bio? You could wait out the term of your agent agreement and if nothing happens not, not renew it. But again, if you did this why would you want to list the agent in your bio?
Or, if your agent passes on the work you could ask him or her if you could submit this particular work to publishers on your own. Frankly I don't think an agent would say okay, but that's up to you and your agent. And even if the agent did say okay, and you sold the work to a publisher, the agent might still be entitled to 15%. And again, why would you want to list the agent in your bio. If contacted I don't see how s/he would comment positively on the work. And as already said, if there is a way you can do what you want, wouldn't it just confuse editors and/or other agents?