How do I install cyanogenmod on a Galaxy Tab 3 (7.0)?
If the device is not supported officially, you may be able to find an unofficial build for the device. If you find that, then the first answer you linked to is your instructions, as installing CM on any device basically requires the same steps. 

If there is not even an unofficial build, then I do not recommend you install any build of CM on your device. All you are likely to do is 'soft brick' the device. ROMs have to be built specifically for the hardware, and hardware can differ even between variants of the exact same device. Like a T-mobile version versus AT&amp;T version. 

Rooting the device will not get you any closer to installing cyanogenmod. You will need a custom recovery. ODIN is usually used to install Samsung based ROMs, so you shouldn't need to use ODIN. But, this really all depends on if you have found an Unofficial build of CyanogenMod for the SM-T110. Without that, your only other option is to build an unofficial build yourself, that does require a lot of knowledge of how linux, android, and build systems, etc. work.

On the cyanogenmod forums there is a request to add support for the device.