Can you theoretically install everything level? If so, then you do not have any "trapped sections" per say; however, the entire system is trapped.
For dry systems, you have to install the branchlines pitched 1/2" per 10 feet so the water drains back to the main. Then the main has to pitch 1/4" per 10 feet back to a drum drip. To detemine where to put your drum drips, you have to figure how much vertical room you have between your high points and your low points. If you have 6" of vertical movement for your main, you can theortically have 240' of main sloped toward the the drum drip on one side, and 240' sloping to the drum drip on the other side. Watch were the main high-point and low point puts your outlet elevations for the branch lines. The main will be the branch line LOW POINT. At the main high point you'll need to make sure you have enough room at your branch line high point so the deflector is still below framing as required. At the main low point, make sure your branchline deflector isn't too far below the framing or you'll need a sprig. Not a big deal unless you fabbed the branch lines with 1/2" or 3/4" outlets. Based on this information, you can see your sketch is lacking the information needed to provide a solid location(s).
J. Moore
NICET III - Water Based