3GB of VRAM is not recommended anymore. More and more games (AAA top titles anyway) are requiring a minimum of 4GB and recommended of at least 6GB. And that's at 1080p resolution. If you want to play some of the newer games and your GPU only has 3GB VRAM, you'll have to turn down some quality settings like anti-aliasing and texturing to prevent stuttering.
You don't say what your previous graphics card was, but don't rule out buying a used GPU on the market in your location. FYI a GTX 970 is about equal in performance to a 3GB GTX 1060. Miners are not selling GPUs, they are buying them so I wouldn't be concerned about a used GPU being used 7x24 for mining. Also keep in mind that Nvidia's Volta replacement for the GTX 10xx series is...