Luck vs Strength as a supplementary stat for a rifleman/gunslinger?

I'm playing a high int, high agility rifleman/gunslinger character. Mainly using rifles but pistols are for silenced sneak kills. I have been thinking of having either luck or strength be my sort of supplementary stat for the build, but I don't know which I should choose.

I mainyl play outside of VATS, but I do use it for quick enemies and to cripple legs etc. Basically I use it as a tool, not as a playstyle.

Luck would obviously mean going into a crit build direction. It seems very strong, but I don't feel like it would be worth it considering how little time I spend in VATS.

Strength would give me hip fire accuracy, carry weight, bash damage and maybe I would even start using a melee backup. How crucial are crits/vats for a melee weapon to be viable?