> have a "stuck" RNG
TREZOR asks for external entropy during the initialization and this one is mixed with an internal one. Even in the unlikely change that internal RNG generator fails, you should be on the safe side.
> The author is trusting people he doesn't know
The whole design is (hardware and software) is open-source. You don't need to trust, you can verify yourself (or ask a friend who can if you are not able to).
> inheritance
When you initialize device it will give you a list of 24 words, which are a way how to recover funds. You can split these words across your family members (using e.g. a Shamir's Secret Sharing Scheme) and once you are dead your family can recover your coins.
I recommend watching my talk at CCC where I explain in detail the basis concepts of TREZOR: https://www.youtube.com/watch?v=CgaBKNus1n0