is it possible to get a current line count in either of these programs?
You can get the line count in Notepad. Not sure how to get it in Wordpad though.
In notepad ensure your wordwrap is off by Format->Wordwrap unticked.
Now from whichever line you are on in Notepad, press CTRL G. It will show you the line number you are on and also let you goto (jump to) any line number in the text file.