For me, a cellular internet connected person (normally 120+ ping but very short in bandwidth), and I am sure probably many more, find that having this limited ability to control what the browser does is a little to a bit more than little, irritating.

The problematic scenario
I click to browse the shop, find runes I want to buy, which takes about a minute (which is a lot) to get to the interface you require from the shop.
Then I want to check how many free rune slots I have, so I am checking my profile.
Then comes the annoying part, when I click to go back to the shop.
The browser is already at the interface I want -- But nope! Gotta load the shop from the front page again.

Part of solution
Being front-of-the-scene, I don't know how it is coded in the back, but it is obvious that you have both a browser and local interfaces. Separate them! Prevent the rage!

You know better what's there and how to do it in an elegant way. I count on you.

The problem is they use Adobe Air which has a bunch of built-in limitations and latency issues for all users(although not as bad as it sounds for you). The lack of being able to jump back and forth between screens actually bugs me more than almost anything else about the game, and I'm playing on a pretty fast cable connection.

Riot employees have said that they are working on coming up with solutions with Adobe's help, but they are also a bit notorious about taking forever to get anything accomplished(as in many months or possibly never). I'm sorry to hear about your troubles and hope for your sake that they come up with some way to fix it.

It seems like it should be simple since it initially jumps back to the page you were previously on anyway, and I haven't read a straight answer as to why, but apparently it's harder to fix this than it seems like it ought to be.

My suggestion would be: DROP ADOBE AIR! It's a bunch of html & js ****.