I've not tried Domenica Bay Rum, but it's well-liked by others for the clean simplicity of its scent.
However, other bay rum splash-type aftershaves have burned a bit, so be prepared for a stinging sensation somewhere between that of a thousand angry jellyfish, and the the slow inferno of hell. The burning does subside - it takes between 30 seconds and two minutes, and after that you're good to go.