Well, there is just one way to find out. You need to get it open.
A Yale 028 is a 4-wheel and right-to-stop lock and should have a suitable price for this kind of container, but it is a big one.
5 sounds good for a contact point. When you graph a friction fence lock there can be situations where the contact point doesn’t shift at all, but the only difference is how solid the contact point feels. To use this information it is not important to measure by some sort of mechanical device. It is fine to use rough estimates like “it is here stronger than there”, “in this area is the strongest contact point” or “low/medium/high”.
And I think I have already seen somewhere a handle like this, but I can’t find it again. Maybe it is related to a Jeweler’s Chest.