Q: what would you call a e-g-a-d voicing with bass on e? e-7 add 11 no 5?
A: that would pretty much be the only way to accurately convey the information to a stranger, using only a chord symbol. unfortunately it is probably too long to sight read. i suppose you could write A7sus4/E, but that may or may not send a different kind of message to the reader. My personal short hand for the chord you are talking about is E-sus11 (Emin sus11) however this is NOT something that you can use on a public chart and expect anyone to know what you are talking about, because it does not conform to any kind of standards that anyone knows. sus11 is something i made up, and you can't count on anyone guessing what you mean if you write that. i just use it because i use that all the time (actually with no E in the harmony, just in the bass), and another way of writing that is also Gsus2/E or maybe you could get away with G2/E (in case G2 is accepted as Gsus2 which it may or may not be). also it seems important to prioritize E in the chord symbol to make it plainly clear that this is acting like some kind of E minor chord, because anything else will make the reader have to pause and do some calculations. but as i said earlier, the only way to really do this is exactly the way you said it (add this, minus that, etc) and the reader will definitely have to do some calculations there as well