Here's a non-optimal solution. In this case, the UFD has to have a specific name, which is passed to the script which searches every possible drive letter for a match. It's probably not practical to rely on the flash drives all having the same name.
Still hoping someone pops by with a better answer!
setlocal
:: Initial variables
set TMPFILE=%~dp0getdrive.tmp
set driveletters=abcdefghijklmnopqrstuvwxyz
set MatchLabel_res=
for /L %%g in (2,1,25) do call :MatchLabel %%g %*
if not "%MatchLabel_res%"=="" echo %MatchLabel_res%
goto :END
:: Function to match a label with a drive letter.
::
:: The first parameter is an integer from 1..26 that needs to be
:: converted in a letter. It is easier looping on a number
:: than looping on letters.
::
:: The second parameter is the volume name passed-on to the script
:MatchLabel
:: result already found, just do nothing
:: (necessary because there is no break for for loops)
if not "%MatchLabel_res%"=="" goto :eof
:: get the proper drive letter
call set dl=%%driveletters:~%1,1%%
:: strip-off the " in the volume name to be able to add them again further
set volname=%2
set volname=%volname:"=%
:: get the volume information on that disk
vol %dl%: > "%TMPFILE%" 2>&1
:: Drive/Volume does not exist, just quit
if not "%ERRORLEVEL%"=="0" goto :eof
set found=0
for /F "usebackq tokens=3 delims=:" %%g in (`find /C /I "%volname%" "%TMPFILE%"`) do set found=%%g
:: trick to stip any whitespaces
set /A found=%found% + 0
if not "%found%"=="0" set MatchLabel_res=%dl%:
goto :eof
:END
if exist "%TMPFILE%" del "%TMPFILE%"
endlocal