Looking on the internet deeply has found these results:

I could ever have done is the most popular phrase on the web.

I could have ever done 1330,000 results on the web	I could ever have done 11,920,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
That's better than I ever could have done, that's for sure. Everything I do or have ever done Is for my children. Dude, I've seen everything that you have ever done. And that was the scariest surgery that I have ever done. It's the worst thing I ever could have done. You almost let me do the stupidest thing I could have ever done. So it was the worst worst idea I could have ever done. It's pretty much the worse thing I ever could have done to you guys, and I'm sorry.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

I could have ever done

1330,000 results on the web

I could ever have done

11,920,000 results on the web

More popular!

That's better than I ever could have done, that's for sure.
Everything I do or have ever done Is for my children.
Dude, I've seen everything that you have ever done.
And that was the scariest surgery that I have ever done.
It's the worst thing I ever could have done.
You almost let me do the stupidest thing I could have ever done.
So it was the worst worst idea I could have ever done.
It's pretty much the worse thing I ever could have done to you guys, and I'm sorry.

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