Kana, do you have a way to bypass the plates? Per design the plates are meant to help you fraction out as much etoh as possible, and thats a good thing in some products but in rum that is going to make it very one dimensional (compared to rum made in double pot or double retort) .
When you start playing with the carboxylic acids you really want more alcohol diversity. Ethyl butyrate (also known as ethyl butanoate) is going to be this generic kinda fruitiness, the good stuff is going to be isobutyl butyrate which is going to be fruity and pineapple (in the right concentrations). You want that alcohol diversity to get the best esters, this is the reason high ester rum is made with a double retort. For instance when manufacturers are setting up with a double retort they are front loading high tails and low tails in the retorts to get a higher concentration of diverse heavier alcohols to push those acids through to get those "better" long chain fatty acid esters.
Additionally the boiling point of butyric acid is really high (350-380f or something like that), it's only going to come over from the pot when bonded with something else that lowers it's BP, pushing it through plates is going to strip out those heavier molecules and it's never going to pass. You might be able to get some to come over through 1 or 2 plates, id venture virtually nothing through 7.
On top of that you need to acidify the environment to with a mineral acid like sulfuric to act as a catalyst for esterification. By putting in it a pot of beer or low wines your going to have to add a ton of your carboxylic and mineral acid to get just the faintest traces of it to come over. Where as in a double retort the last retort full of high wines (high tails) is going to be 10% of the beer charge, carboxylic acids would be 10% of the retort charge (butyric acid would be about 3% of that 10%), and the sulfuric would be about 20% of that 10%.
So just for round numbers:
Beer charge is 100l
First retort is 10l
Second retort is 10l total volume
In the second retort
9l high tails
1l total carboxylic acids
93ml aceditc acid
3ml butyric acid
4ml other acids like propionic, etc...
Then 200ml of sulfuric acid is added to the high tails and carboxylic acid mix and is let to esterify for 24 hours before making the run.
All that to say, a plated column is just the wrong tool for the job.