I've never seen or heard of a generic Android distro unfortunately. Not like a Windows install for example, where it would sort of install on any given generic device and then install the drivers for your particular device.
I've seen "sort of generic" distros. But they are still for a somewhat specific manufacturer. Like a certain brand of Chinese tablets where they used several different parts over time. So when you goto install the 'Generic Distro' for that brand, you have to install it while trying a whole bunch of options. So maybe they used 4 different types of touch screens, 3 different types of wireless, 2 different sound chips, 2 different CPU generations. So you have to install trying Touch Screen type A. If it fails re-install try Touch Screen type B, if it fails try Touch Screen type C, and so on. Once the Touch screen works, you have to re-install, testing which each wi-fi type they included in the distro, and sound drivers, etc and it becomes a guessing game.
But you still need a fairly specific distro for that situation.
Otherwise you have to build the distro for your device as far as I know if someone else hasn't done it already. That I have no idea. I have a challenge just getting the pre-done distros installed
As far as bricking, that is probably always a risk. In my experience, the risk there is when you are installing the bootloader. Once you have the bootloader you are typically safe most of the time I believe. However if you don't have a way to install the original Androind OS that came on the device and the distros you try don't work, well then, you can pretty much consider it a brick at that point as you won't have an OS on it all of course.
Does your tablet have any branding on it at all? Or model or serial numbers? Or when you go into the About Tablet/Phone in the settings does it give you any information?