An Alternative to Tab

So you're saying that you do what's been done for centuries?

 

For me one of the biggest advantages of notation is that it allows you to explore lots of options for where and how you play something.

But yeah, Roman numerals are the way forward if a line can only really be played in a specific position.

 

It's common on some string scores, but more common is to indicate the string number, e.g. III° Corde, which is less complicated as the numbering will generally not go beyond IV or, rarely, V.
The thing with standard notation is there is a boat-load more to it than pitch and time. String/position indication is not an alternative, rather an element that, unless you were a string player, you will probably never see...

 

The only pitfall I see is the double standard regarding position labels for bass. Electric Bass Guitarists think of positions as frets, whereas double bassists learn as positions and half positions.