BPman, it's very difficult to do and still have a traditional bay rum. The only way to do it and have the scent last a very long time is to add scents to it that are long lasting. But that changes the entire scent and IMO they are no longer traditional bay rum but something else entirely. Lots of folks would disagree with me on that, but I refer to traditional bay rum scent. Its easy enough to get the reference scent... just get some Pimenta racemosa essential oil, mix it with alcohol and apply it to the skin. What you have just made and applied is essentially traditional bay rum. But as soon as it evaporates the scent is gone, as you mentioned. But it's a fantastic scent for as briefly as it's there.
Brian. Lover of SE razors.