What do you want to hear? OSSC is perfect for you but not within your price range.
You could drop 70 EUR on crap and not be happy, or you can drop 200 or so and actually have something which brings you enjoyment and makes games look correct without lag.
Most of us have dropped serious dough on this stuff because there are no cheaply made products that do this type of thing correctly. If you want good image quality and aren't willing to pay for a premium device and proper cables, then just emulate.
Don't bother with the unknown stuff from random manufacturers that haven't been vetted. You will repeatedly waste your money over and over again.
Any one of us could have warned you against buying the device you bought, because trust me, that's how we all likely got started.... by buying stuff like that. So... I guess what I'm saying is, welcome to the rabbit hole.
What Peltz said. Framemeister and the OSSC are the best choices for a reason. Save up for a little while and spend 200 € instead of 70 €. You'll be much happier.