actually i use either AllChars or Autohotkey depending on the computer..
but i keep Accents just in case, i'm dumped someplace where either of the above-mentioned tools is not available..
anyway, back to your question.. if Accents is running, you can press the designated key repeatedly until you get to the character that you want.. also, as a visual guide, a tooltip will pop-out showing the available accented characters.. btw i think the screenshot will make things a bit clearer..
Typing the letter 'e'