Item Sublist in Suitelet Custom UI Requires a Units Drop-Down showing available Units for each item

I am creating a Custom User Interface via a Suitelet. Part of the interface will be a Sublist that will hold select items and data about the select items. One of the data points I need to hold is the Unit of Measure. The selectable items in the drop-down should mirror those in native item record or transaction record functionality.

The image is from a Work Order, but illustrates the concept. The available items in the selector will depend on the item selected earlier in the line.

I am able to pull the relevant Units Type record and from the UOM sublist on the Units Type record, pull the information I will require for each value (the internal id, the abbreviation, the conversion factor, and whether it is the base unit).