While I do agree with you in principle (keeping guns out of criminals hands), what good is a gun that you can't get to when you need it? Furthermore, if you have a small safe that you can "hide," what are the additional locks for? Anyone that is able to get into a safe is going to be able to defeat a case and a trigger lock pretty easily. Hiding your gun (in or outside your safe), and having a fast police response (alarm system) to limit the amount of time criminals have to look around will do a lot. If they can break in while you are at work and just walk around they have a huge advantage.
Now if you start getting into actually gun safes in the $3000+ range that are bolted to the floor and designed to protect your collection of guns it's a bit different. They all can be defeated by a determined criminal; however, it can simply take too long to defeat them inside the home or to get them out of the home (again with a fast police response). You can also "hide" them to some extent (and a bit more creativity).
Note: not saying not to use a safe. Just questioning the safe + locked case + trigger lock