If by note editing you mean software that allows you to write music in notation format, or else allows you to tinker more with the written music side of what you're attempting to compose, you may want to look at music notation software as opposed to working in a DAW. You might be able to hook up a MIDI keyboard and get your notes written out in a notated format that can then be saved as a MIDI file that can be imported into your DAW. This is particularly handy when wanting to orchestrate something and have specific orchestral instruments in mind for color, then want to transition that work into an electronic environment.
Another option is to look into which DAWs have rich editors or piano roll functions, and take a few out for a test spin and see if you find one that matches your composition style. As you're discovering yourself, some DAWs are better than others at working with note editing while others are better still at mixing and applying effects. You might find that the best solution for you is a combination of software instead of a single solution.