Genuine question (still new here) - how much processing are you comfortable with ? Do you prefer to stick with changes that could have been made in camera (global brightness, bit of contrast, white balance, etc), or are local edit layers with different adjustments and layer masks acceptable to you ?
I agree that just using global changes it's going to be hard to make this pop as the lighting is diffuse and even, and you're going to end up with the choice between blown & flat you mention.
With more rework it'd be possible to create a bit more dynamism in the lighting, but it'd not be the image that you shot - I'm happy to give it a go if you wanted an alternative take.