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if it doesn't say +p on the gun I'd investigate further before increasing pressure
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The only guns I can think of that actually have "+P" printed on them are revolvers with respect to .38spl. Almost no modern autos will have it and certainly not "+P+" for which there is no SAAMI specs anyway. Glock, Sig, H&K, and M&P, in my experience, all feed +P like champs. There isn't any reason the Kahr shouldn't be able to. I could see +P+ causing issues but not +P.
I've got a CM9 on the way. I plan to carry and shoot Speer 124 +P Gold Dots in it. That's a pretty standard defensive load. Any pistol not designed to handle that isn't worth a damn, in my opinion. I would be shocked if it couldn't handle +P ammunition. I'd wager OP's issues are directly related to the +P+ load.