I was thinking the Ibanez S series even before you mentioned it. As far as rock goes maybe you can nab a Les Paul or Epiphone with a thinner neck or something. I have to believe they offer something without a fat neck. There are so many versions I'm not even sure about much of it.
In a Joe Satriani once said in an interview to pick one note then locate the same note in every location on the fretboard. Or first just start on the first twelve frets so you don't confuse yourself. Play the note everywhere and when you're comfortable, pick another note to learn. That's all the advice I can relay for ya.