It makes sense that an adventuring wizard with sharply limited combat magic would put a little time into mastering the basics of weapon and armor use.
I disagree that losing cantrips means you are sharply limited. That's sort of the point, isn't it?
You are not in a significantly worse position.
The mage cantrips have a variety of uses, but many of them are, I feel unobjectionable. I have seen no one complaining about too many light spells being cast, or of the horrible abuse associated ith mending.
Is perhaps the solution for the no cantrips module to just stop calling some things cantrips?
So let me revise my suggestion: if you got rid of cantrips, I would add
Class feature: Read Magic (as the spell).You are a wizard now boy, and so you can read magic.
Class feature: minor magics that are definitely not cantrippy:
Choose any two of the following, which you can use [INT] times/day:
a. Prestidigitation (as the spell).
b. Mending (as the spell).
c. Light (as the spell).