Might consider Dumb Bell presses of any kind, for hitting the delts. DB see-saw, alternate, Arnold, Scott-Gironda, "W"s,Cuban press, etc, etc, etc.. One arm DB presses, including side presses, are very rewarding.
DB up-right rows/hi-pulls target the lateral head strongly. Best doing one arm at a time, bracing the free hand, and pulling with the elbows out wide and in line with the body. (the BB hi-pull is an exceptional delts movement also)
With Lateral raises, cheating is a very good option. If you don't want to, than don't....but a correct cheating style can be very productive, when muscle mass is the goal. If you prefer ging by the book with a strict style and full ROM, than that's your choice.
Some guy's will do one arm at a time lateral raises, with a slight swing to start the upward motion. There are at least half a dozen way's (maybe more) of doing lateral raise, each having there own merit. Most will only raise the DB's, with doing any version, to around shoulder (or a little below) height. Might try raising the DB's to around head height, the point where the traps begin to take the majority of the work. Hold at that top position for a second or two. Grip/hand position is another element to take into consideration.
Might try lateral raises, starting with the DB's in front of the body and than finish the rep with the DB's meeting behind the back. Raise the DB's again and finish with them meeting in the front of the body. Can do this laying on a incline bench or on a flat bench/floor, one arm at a time. Good Luck.