I'd enjoy being able to take a look at those reviews to be better able to converse with you about your perceived needs. As far as calling dual-core CPUs dinky, you should be aware that the FX-4300 is a two-module CPU, and that while each module contains two partial CPU cores, it's not really a true quad core like the older AMD 10h Stars CPUs like Phenom II, etc. In fact, the fastest of the Phenom II CPUs are almost on par with the FX-4300. So in a way, the CPU you have picked could be characterized as a "dinky" 2-module CPU. If you are set on a true quad core, and since you don't mind using older technology (FX-4300 is from 2012) I would suggest a Haswell (2013) platform with a true quad core. Here's a list of core components that doesn't exceed $300:
https://pcpartpicker.com/user/crashtech/saved/vy6rHx
Personally I would pair a new motherboard with a used CPU,
used CPUs are a very safe buy and will save you quite a bit of money.
Anandtech Bench does not have an i5-4570 in their database but a 4570S, which runs about 300MHz slower at full load to reduce TDP, but as you can see from the benchmarks, it is by far the superior performer, and perhaps even a better fit for your purpose.
http://www.anandtech.com/bench/product/1368?vs=700
If you are dead set on AMD despite the advice you've been given, it might be best to tide yourself over with a
used CPU/mobo combo until the debut of Zen.