Question [Q] Get FULL ADB Root access, how to?

Hi all.
Tab 3 8 T311.
I need to get adb root to use such firmware like QtADB or Android Commander and others.

And I want to keep stock kernel in my device (do not want to flash other customized boots).

So I`ve flashed TWRP, got system root with SuperSu, installed BusyBox.
In my stock boot.img I`ve edit default.prop to set:
ro.secure=0
ro.adb.secure=0
ro.debuggable=1

replaced adbd to (a few different, one - from ADBInsecure.apk) patched (one of them works fine on my other phone)

and still have no success...
I`ve system root and can use such programs like RootExplorer and so on... when I type in cmd line "adb root" - it tells me - already run as root
but when I type "adb shell" I get $ instead of #.
if I type "su" after $ - I got #

- it means - there`s no adb root. and my QtADB CWM edition - can`t work properly - it has no acces to system or data folders.

so I need some push to right way - because it`s so lazzy to clean system folder from garbage with rootexplorer... you understand me...
Like my works - feel free to donate ))