BIN costs more to list and ebay takes out more in final value fees. You could list it auction style at the agreed on price as the starting bid - and then when your buyer bids, end the listing selling to the highest bidder. and if someone else comes along and bids before your buyer does, you can just cancel the bid and continue to wait. With a BIN, someone else could come along and buy it before you buyer does - I had that happen. Just let your buyer know when you list and give them the item number.
bidded - (v. nonstandard)
Simple past tense and past participle of bid -
(Wiktionary)
Invoice
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