Since you said you were a young pilot, I will assume for the moment that you are an O versus an E. Pretty safe assumption.
First, you don't volunteer to help other units through AFPC. Those are usually deals that are worked by the squadrons or OG's. Second, where are you located? I'd love to get orders there so I can sit out a couple of deployments.
Last, if you are going to talk to AFPC, then make sure you have talked with your supervisor and CC first. All officer assignments, 365's, etc are routed through the Sq/CC. Nothing a CC likes more than getting a phone call from the guy working the desk at AFPC telling him that one of his pilots has volunteered for everything under the sun and the guy hasn't even stopped by to chat. Good way to end up on the radar and not in a good way.
The only real advice here: If there is a unit out there that has folks that are exhausted in it, figure out which unit, see if they'd be willing to have you deploy with them, work out all the details and take that to your CC. Tell him you are a volunteer and see what he says.
Are you at an associate unit or at an active duty base? E, H or J qual'd? I may be able to steer you to a unit that will take your help.
Edit: Can't spell good.