I don't fully understand your description of the problem, but can suggest two resources to investigate for ideas on how to set up better ways to pick from lists of values. If you work your way through both files, you start with a simple use values from field value list and work up to filtered portals with pictures in a slide control placed inside a popover as a way to find and select a value from a list.
These files are free to download.
Adventures in FileMaking #1 - Conditional Value Lists (includes details on how to set up a basic field based value list)
Adventures in FileMaking #2 - Enhanced Value Selection (what to do when a simple value list won't cut it.)
Thank you for reply! In Adventure #1 I found "Script Generated Conditional Value Lists I" which looks like the one i'm looking for. Now, all i have to do it to combine it with pickup "browser" like the one i showed in the screenshot above.