Depending on the layout of the folders/files you may be able to do something like this using custom commands.
However be warned that deleting the files immediately after download is somewhat risky since any error in transfer and you will not be able to retry the file later.
From the main menu > Commands > Edit Commands.
Then from the Custom commands dialog, add a new command and give it a name, i.e. "queue + delete"
Now set the command to execute the following code
Code:
{
/queue "%p%f"
/delete %p%f
}
You can also assign a shortcut key to this new command, something like Ctrl+Shift+Q (assuming that key combination isn't already used)
Click the OK button to save the changes and close the dialog.
Now select the files/folders you want to queue and run the command,
From the main menu > Commands > queue + delete or if you assigned a shortcut Ctrl+Shift+Q