370cc implants are not considered "large." But they may still be too large for your goals.
In order to see a visible change in size, a minimum of 60cc (2 ounces) must be considered for the slightest change. I generally have found (in thousands of breast augmentations patients over 25 years) that it takes 250cc to equal about one cup size, so going down by that amount would leave a very small, narrow implant sliding around in a too-large pocket. So compromise must be considered between your "too large" present result, and small(er) implants.
Going down about 100cc, and using...