Looking on the internet deeply has found these results:

Hope you are doing well is the most popular phrase on the web.

hope your are doing good 127,800 results on the web	Hope you are doing well 12,760,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
That is, while we are enduring unemployment, the Koreans are doing good business in their shipyards. Having said that, I know that the vast majority are doing good work and are properly motivated. We are doing good for the world. But you guys are doing good. And also, people are doing good through social media. No hope of doing anything good in his life. So information that organizations are spending economic effort into concealing, that's a really good signal that when the information gets out, there's a hope of it doing some good	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

hope your are doing good

127,800 results on the web

Hope you are doing well

12,760,000 results on the web

More popular!

That is, while we are enduring unemployment, the Koreans are doing good business in their shipyards.
Having said that, I know that the vast majority are doing good work and are properly motivated.
We are doing good for the world.
But you guys are doing good.
And also, people are doing good through social media.
No hope of doing anything good in his life.
So information that organizations are spending economic effort into concealing, that's a really good signal that when the information gets out, there's a hope of it doing some good

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.