Keeping it hidden

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If it was me I would go for 4 cm tibias. It is less taxing on the body, and it opens for you in the future doing 5 cm femur if you want to which would recover the natural 0.8 tibia to femur ratio.

Better to be 4 cm taller and have a great recovery than push it 5 cm and risk ballerina.

As for the keeping it to yourself or not. If I were you I would 100% keep it to myself. We do this procedure to try and get away from height   in social settings. If people know you do this they’ll never shut up about your height until the end of time.

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It's really hard to notice, though with tibias you'll have scars on your lower legs that people will see whenever you're wearing shorts.

I did 8cm on femur and got away with no one knowing for sure. Anyone who was suspicious I just gaslit until they gave up in confusion. Nowadays most of my friends that I hang out with are new and didn't even know what I looked like before COVID. If I ever get married and have kids, move to the suburbs, etc. I'll probably once again end up with a completely new/different circle of friends. I don't think it's that hard to hide it.

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That is not exactly true. The precise rods and external fixators have a load limit. That is 100% true.
I have heard that the precise only has a 75lb strength. Beyond that, they will bend and then break.
A great many patients are snapping their rods because they expect to be able to walk normally before consolidation. 

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I would recommend focusing efforts on just a successful recovery.