I am playing around and see that the idea of additional field, like I described above isn’t really good in terms of UX. So I came up with another idea to restore enough space for the url in toolbar and free it from icons a little bit - what if we use FAB with menu to move share outside toolbar? Here is an example
So we are moving into this FAB save action and both items, which are hidden under share icon.
Of course FAB will hide during scroll down.