If you drop down to a
1080p monitor for $220, that's going to "save" you some money and
this 5600XT = $280 gets you right to your $500 budget.
Both the 5700 and 1440p monitor I linked are the cheapest of the bunch to fit into your budget though, so you're really looking at spending about the same amount of money for 1080p and a 5600XT/RTX2060. What you get by dropping to a 5600XT/RTX2060 is a better cooler, but lower performance.
Look up Gamers Nexus' review of the 5700(XT?) MSI Evoke card (there's also a tear-down, and perhaps even a third video outlining the "fix" they did). The cooler isn't fantastic out of the box (for a 5700XT), but it can be fixed. Pair that with the fact that the 5700 and 5700XT use the same cooler (but the non-XT consumes less power) and that's step up for that cooler. Then say that if all you're looking for is 5600XT/RTX2060 levels of performance, you can de-tune a 5700 to match that at further reduced power consumption. Depends.