OK, in this case I have to put it another way.
I will move the money (not very much) to the first exchange that implements nominal US$ transfers between members.
Also I am ready to pay a reasonable fee for each transfer.
I don't know of any exchanges that offer that.
If you are both in the U.S., one method would be to simply withdraw USD from the exchange into Dwolla and then do a Dwolla account-to-account (A2A) transfer. Then the recipient can simply move the funds from Dwolla back into the same exchange (e.g., Mt. Gox). The total cost is $0.25 to you and $0.25 to them. And the turnaround time is from just a few minutes to about under an hour, depending on the timing of some cron jobs. Since you aren't ultimately trying to do a bank transfer then neither Dwolla account even needs to have a bank account linked to it then (though if the amount is large enough or other situations exist then Dwolla may ask for proof of identity).
Outside the U.S. you can try about the same tactic using Liberty Reserve as the intermediary. There are delays and fees though when using LRUSD.