There's always webuyanycar. They admit they will offer less than market value, but it's worth asking to see how close their quote gets. If they're ten or fifteen per cent below what you're hoping to receive, then that may be no worse than you'd accept after haggling anyhow, especially if you have several non-productive viewings, and since you have another car lined up it may be appealing to just get it sorted hassle-free. I once sold a house to a developer, which meant I got quite a bit less than I could have got with a sale directly to a new occupier, but I'd already had an offer accepted on my next house and didn't want to risk losing it by delaying the purchase, so the cut was on balance the better option for me.
