Treat causes and not effects.
1. Unlock your elbow. It should open a bit when it swings back, and close a bit when it swings forward--not anything that you have to *make* happen, just relax the elbow and *let* it happen.
...which it will. The weight of the hand/forearm will tend to open the elbow some on the backswing and close it some as it swings forward. This is pretty obvious when you watch sprinters (https://bretcontreras.com/wp-content/uploads/sprinting.jpg), but it should happen (though with much less amplitude) at slower speeds, too. There should always be a little "play" in the elbow, even at a jog.
2. Change your mental focus re your arms. The only part of the arm stroke that moves you forward is when the elbow is moving backward (behind your torso), so your mental image of yourself running should feature the elbows moving back. The forward swing is just a recovery stroke and happens automatically.
People are oriented toward seeing what their hands/arms are doing. As a result some runners tend to keep their hands within sight at all times. This pretty much guarantees a cross-body action. Who cares what your hands are doing, you're running!
3. The arms balance the legs. When you run the legs land one (almost) right in front of the other. To balance that your arms will also tend to come to the midline of your torso. Don't worry about that (the East German women's coaches actually used to *coach* a cross-body action for their sprinters' arms); if you take care of unlocking the elbows and focusing on their backward swing, you should be okay...particularly if you continue with chest/frontal shoulder stretching (such as PNF stretching for the chest) and the back-strengthening work that you're already doing.
4. If your elbows are sticking out, even though they're relaxed/unlocked, and you want to "cure" that, just turn your hands thumbs-up: run with the palms of your hands parallel to each other, rather than parallel with the ground. This will automatically bring your elbows closer to your sides, with no effort required.
But this is generally not a big deal, as long as you're following #1 and #2 above.