In practicality, there is no way you'd be able to get a clear enough picture to actually see the Earth in the refracted light at all. The only way we can presently detect black holes is that they consume stars. If my memory serves correctly, one of the first black holes was actually found when they watched a star be consumed by the black hole. The entire event only took up about 9 pixels on the Hubble Space Telescope, though.
Even with the James Webb telescope in development, there's no way you're going to get a clear enough image. Trying to use a black hole's gravitational lensing to see the planet is a bit like proposing to shoot a gigantic mirror several light years into space so we can see ourselves in the past. I'm sorry to be a buzzkill, but there is simply no way you can collect enough detail in a digital image to see the Earth in the gravitational lensing of any celestial object.
I'm not entirely certain of what you're asking, but if you want to see the planet in as much detail as possible, it's definitely easiest to simply use an Earth-orbiting satellite. Whatever lensing you need done is easily accomplished by using glass or reflective plates instead.