With that kind of budget, you can get an iPhone SE 2020: https://www.backmarket.com/en-us/p/iphone-se-2020-64-gb-blac... . If you can spare an extra $50, I'd go for the current model: https://www.backmarket.com/en-us/p/iphone-se-2022-64-gb-star... ($202)

That's basically what I did: https://announce.asheesh.org/2022/09/i-switched-to-iphone-fo...