If one is dead set on a variable, it would be hard to beat a Leupold 1.75-6". Just make sure it isn't one of the earlier short-tubed versions.
Both my 375's (one Ruger, one H&H) wear simple, light Leupold 4X scopes. The ruger a newer 4x33 with Heavy Duplex, and my Brno 602 375 H&H wears an M8 that I'm going to send back to have a Heavy Duplex reticle installed as well. Straight 4x scopes are often over-looked today on a 375, but you're hard pressed to find anything with a better combination of tough / light / simple. Both my 375's have iron sights and QD mounts, and I've never felt lacking with the 4x's.
My 375 Ruger for a while did wear a 2.5X Leupold with HD - a wonderful, light, extremely tough little scope, but I found it lacking at dusk and dawn, and for this reason only, I would stay away from any straight-tubed scope, whether fixed or variable power.