1. Clarify your benefit to the buyer to figure out who your ideal tester is (your zero negotiation and and unlimited deals reasons are a good start).
2. Work out where these people are and go promote to them. So you need people who: are comfortable shopping online, already research purchases online, are cost-concious, are actively considering a car purchase, live in <insert geographic restriction>. Posting to petrolhead forums asking for volunteers and buying adwords for "car comparison <location>" would be a good start.
Sounds like you have some dealerships engaged. They have access to car buyers so can they help you find testers? They may sees a risk of leaking prospects to the competition, but surely you can control who sees applications in your test environment?
3. Offer incentives, or you'll waste time battling the drop-out rate instead of fixing bugs. E.g. Fund your dealers offering a small extra discount for any sale completed through your service with feedback given.
Hope there is something new and useful in there.