The version that is not a bad idea, since you asked whether one exists: let somebody else carry the risk.
If a buyer genuinely cannot pay in full today, the arrangements that work are ones where a third party pays you now:
- The buyer borrows from a bank or credit union and pays you the full amount.
- The buyer waits and saves, and you sell to somebody else meanwhile.
- The buyer pays a deposit and collects when the balance arrives, with nothing handed over until then.
That last one is the only instalment-shaped thing worth doing, and it is really just a deposit. Keep it modest, put the terms in writing including what happens if they change their mind, and do not take the car off the market for longer than you can afford.
And be alert to the shape of it — an offer at full asking price, from a stranger, with unusual payment terms, is a very common pattern in vehicle sale fraud.