Since almost all GPUs worth buying are over $400 right now, your best reasonable option under $500 is to give up on the GPU for now and get either a Ryzen 5600G or i5-11400-12500 and use the IGP for the time being. You will still end up busting $500 by the time you add a case, PSU, SSD, keyboard, mouse, monitor, etc.
The next best option is to wait it out and see what all of the new entry-level GPUs cost by the time they reach street market, though I have low expectations of prices being remotely reasonable.