You don't like playing single notes? What do you mean? How to solo with chords? Are you trying to find shortuts on how to play lead guitar? There is no shortcuts. basically, lead solos comes with single notes and followed by anoher notes. That is how lead solo works. I think all you need is to start to learn scales. Scales are variety. From basic pentatonic scales to diminished scales and many more...

If you said that playing lead solo - note by note is what you hate, you are probably not into the right path of learning solo. Concentrate on your picking and fingering technique, then you may know what is the real meaning of playing solo or lead. Of course, before you go further, you must know all chords if possible... major, major7, minor7, diminished, 9th....bla bla bla...

Imagine what happen if you play lead solo without knowing the base of chords and don't know what scales to put in, you will probably play boring solos. And a lot but not all, alternative bands play boring solos... e.g If you know this scales, they always play minor pentatonic. I don't want to mention this band coz' afraid this will affect their fans as well as themselves. They can improve their guitar solo because at least they know the chords progression basically or at least they know guitar chords well. Hope this one shows you the point.

Don't worry, you still have time to learn... take your time.