I would suggest just putting the three dots menu on the bottom of the page, either near the O or between ← and → as well as making it pop from the bottom. There is plenty of room and i fell the back and forward buttons are too big anyway. On the top menu the select browser can remain available, like it is on the home page.
On this note i would also like to suggest the option of adding new browsers and a refresh button (somewhere in the settings menu) for user/operator info (as in open tabs, homescreens etc.). On its own it seems to update quite randomly. Sometimes it's instant, other times it takes a while.