This script creates a new document in BBEdit from the the content of your current Terminal window.

CreateNewBBEditDocumentFromTerminalContent.applescript

set content to missing value

display dialog ¬
    "Which contents do you want to insert?" buttons {"Cancel", "Complete Buffer", "Currently visible content"} ¬
    default button ¬
    "Currently visible content" cancel button ¬
    "Cancel" with title ¬
    "Copy contents from Terminal.app" giving up after 10

if button returned of result is "Complete Buffer" then
    tell application "Terminal"
        tell its first window
            tell selected tab
                set content to get history
            end tell
        end tell
    end tell
else if button returned of result is "Currently visible content" then
    tell application "Terminal"
        tell its first window
            tell selected tab
                set content to get contents
            end tell
        end tell
    end tell
end if

if content is not missing value then
    tell application "BBEdit"
        make new document with properties {contents:content}
        activate
    end tell
end if