Are cheap cars possible in your area? I looked on a few sites like motors.co.uk and found a £500 car from a dealer that took it as part exchange. I got a credit card that is 0% interest on purchases for 4 months (pre-approved, bad credit can get them, I’ve just moved an mines not great so getting credit wasn’t possible), paid cash for the car and did the months shopping on the credit card instead. It’s low enough il have paid it off by the 4 months. I obviously saved the cash first as first months insurance is higher etc but as a second car that we just need to stretch for 6monthsish (short term work related thing for us) it’s worked out cheaper and more manageable than commuting.
Loads of companies are available that are cheaper than payday loans but have minimum amounts you can spend, so you end up buying a 3k car instead of a 1k one. I’m assuming it’s a long term thing for you tho so that may be ok, annoyingly I can’t think what the company is called but I’m always hearing a radio advert for a place that immobilises your car if you miss repayments (so for bad credit) so maybe they arnt as expensive, maybe try and google the immobilising bit?