When I was working on Tiki Oasis 15-inspired cocktails (they'll be in episode 45), I was also working on a Corn 'n Oil variant using Lost Spirits Navy rum. If you still have or can get some of the Lost Spirits Navy, here's a simple cocktail idea.

Lost in Spirits
2 oz Lost Spirits Navy rum (works with either the 57 or the 68)
1/2 oz falernum
1/2 oz fresh lime juice
1/4 oz simple syrup

Build over ice in an old-fashioned glass. Stir until frosty. Sip.

There seems to be very little consensus online on the ratio of falernum and citrus in a Corn 'n Oil - obviously tweak it to your taste. 1/4 oz in one direction or another will have a demonstrable impact. I found 3/4 oz of (my) falernum to be too much, while 1/2 oz falernum and 1/2 oz lime juice wasn't quite the right balance of sweetness with this rum.