Matt, the single motor units such as your RS-3 really as is, won't pull many more cars than you are doing. I have had hands-on experience with the new LionChief locos, so I don't know what it looks like inside the shell.
But on non-LionChief single motored locos, I've done either one or both to help the loco. I place a small spring between the truck and the bottom of the engine frame, right over the metal guide pin that goes into the curved slot on the loco frame (if Lionel does it this way with the plastic frame RS-3).
The motors in these units are the same style motor that Lionel uses in their more traditionally sized steam locos, like the 4-4-2, so they do have some pulling power... the 4-4-2 pulls better than the plastic frame RS-3. The RS-3 is very light. If there is room under the shell, you can try adding some self-adhesive lead weights over the motor truck area, which will help with pulling power. The spring I mentioned will help keep the loco from derailing under load of a longer train.
In your case, since the motor is on the front truck, a little weight could be addeed on both ends or just in the center of the frame, or proportionally front, back, and center.
But again, I have no idea how the added electronics are positioned in these new locos to allow addition of weights. In some cases, I've placed the added weights adhered to the inside of the loco shell itself, checking to make sure their is clearance to allow successful re-assembly of the shell to the frame.
PS: it's a good idea to always check the wires going from the truck to inside the shell. Lionel isn't the only one to have these wires just a little too snug to allow easy turning of the truck around 027 curves. I also use plastic safe lubricant right from the get go. Usually the gears look on the dry-side out of the box.