...if I get the R7 2700, I'll be saving a buck, and something tells me that it will be using the ram much better than the R5 3600.
Do you mean literally a buck? Like a one dollar difference? I would absolutely go for the Ryzen 3600, as it should be the faster processor at nearly everything, especially if you don't plan on overclocking the 2700.
Even in the less common heavily-multithreaded applications that can fully utilize the 2700's additional cores and threads, the 3600 will still tend to perform slightly faster at stock clocks, or at least roughly the same. Not only does the 3600 get around 15% more performance per clock, but it also runs at higher clock speeds under multithreaded loads, resulting in it offering equal or better performance than the 2700 at pretty much all multithreaded workloads, despite not having as many cores.
If the 2700 is overclocked to remedy its relatively low multithreaded clock rates (which might require an aftermarket cooler, or at least higher fan speeds) then there is the potential for it to perform slightly faster in those kinds of heavily-multithreaded workloads. But unless you specifically make heavy use of those kinds of applications (things like CPU-based renderers and video encoders) as your primary use for the system, the extra cores won't be getting utilized very often. Practically all of today's games and the vast majority of desktop applications are not designed to use the 2700's extra threads, but they will be able to benefit from the 3600's higher performance per thread, and even overclocked to match the 3600's multithreaded clock rates, the 2700 will be at around a 15% performance edge due to the newer processor's improved IPC.
Both are arguably fine processors, but for nearly all use cases, the 3600 will be a bit better, and at a similar price, it will likely be the better option to go with. As for the RAM, both processors will utilize fast RAM, so don't feel like your RAM will be sitting around underutilized. The 3600 might be able to cope a little better with slower RAM, but to get optimal performance out of it, you will want want to pair it with some relatively decent performing memory as well.