The mechanical simplex locks on the above safes are very convenient, but their weakness is you can run through every possible combination in about 15 minutes, maybe less. So it might be secure against little kids, but if you have curious teenagers around I'd be worried.
Any safe fitting the requirements in the original post is going to have numerous weaknesses, but you're exaggerating the weakness of the safes in the links I posted. According to my calculations, your 15-minute estimate is off. You might be able to go through every combination if you are well-organized and make zero mistakes throughout all 1000+ combinations. I have simplex locks, and I often make mistakes even though I know each combination backward and forward. One mistaken press or a press that's not hard enough means the lock won't open. I don't realize I made a mistake until the lock won't open. A pry bar would be easier.
I prefer not to use an electronic lock because I've had more than one fail on me. I've had better luck with purely mechanical locks.
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