Control Android TV with Android Phone
I just briefly read through the manual for your television found at Kogan's website, and as far as I can tell, the only available connection interface other than the typical IR used by remote controls is network-based. That means whatever application you use has to be supported both by the serving device (i.e. your TV) as well as use the local network protocol, much like the Netflix application has recently built in.

From what I read about DroidMote, it's going to be similar to TeamViewer, however you have the added downside of needing root, which I understand you're attempting to avoid.

I'm not necessarily presenting a suggested solution here, but I did want to call out some of the limitations I've spotted while digging. I think you've listed the best out-of-the-box options thus far, so I'm afraid I have no additional suggestions beyond.

Good luck.