Launch Terminal using BetterTouchTool

Use this AppleScript to open a file with a particular application:

set appPath to path to application "TextWrangler"
tell application "Finder"
    set sel to selection
    if sel is not {} then
        set filepath to item 1 of sel as text --> The path to the one selected item.
        open file filepath using appPath
    end if
end tell

I've never used BetterTouchTool but according to the documentation, you can set up any input (such as a three-finger tap) to run an arbitrary AppleScript if it's saved as a scpt file.

Open the AppleScript Editor, copy and paste the code above, and save it as opentw.scpt or something similar. Then in BetterTouchTool, add a new gesture. Choose three-finger tap as the gesture, and choose the Predefined Action of Open Application/File/Script. Locate the AppleScript file you saved above as the script to open.

Did you consider using Keyboard Maestro?

Here is an example of how I deal with moving windows through screens. I just tried to move full screens apps -never tried before- and seems that didn't work well. But you could modify my macros to Exit full screen before moving to the next screen and Enter full screen after that. The macro for that is called Type a Keystroke.