I wouldn't abandon Better Criticals, especially when you've got Spray and Pray which ignores armour critical modifiers(overpowered, by the way).
I'd use the fact that even when lacking strenght you have enough hit chance... Lets see.
I'm assuming we're shooting a target with a good armor = no AC.
We don't take Weapon Handling - More Criticals instead. 38 hexes is our max range because of 6 PE after drugs(would be gatling's 40 but 2 hexes is not that much).
with 206% EW(I assume at least 100% doc) we have 78% chance to hit at 38 hexes. 34 hexes is 94%.
I'm not sure if it's enough actually, but we could risk.
Aaaanyway, 5% crit chance is a very small difference :p Think about this: there's actually only 5% chance it's gonna make a difference(with 15% we roll 0-14 to crit, 15-99 no crit; with 20% we roll 0-19 to crit, 20-99 no crit; so the difference part is 15-19). It's just like the chance that you miss a target with 95% tohit :p
There's yet another way to deal with the problem: lower your luck by 1, put it into strenght. You gain 4% critical chance(yay), so it's 19% now. Also you've got 95% tohit. But I heard luck is important in defensive manner, so there's another dillema we have...(4 luck against 5 luck seems a very small difference though)