It goes without saying, but I'll reiterate it anyway - resize before trimming.
Here's what I do - For my initial loading, I resize, then measure all of my brass and pick the appropriate minimum length for the lot, then trim the entire batch to that length. Then, for subsequent loadings, I pick my desired case length (may not necessarily be the same length as my first trimming), lock a set of calipers to that length, set two buckets in front of me at the press, then as I resize, I try to pass them through the caliper. If they go through, they go into the pass bucket, if they're too long, they go into the trim bucket. Trim & treat those which grew and put them back in circulation.
For .223rem, you are doing something very wrong if you're experiencing case growth with every firing. I'm not one to tell a guy with 223rem you should only need to trim one time ever, but it should be a very rare thing - depending upon load, I expect no trimming needed for ~90-95% of my cases after each firing, ideally less.
Neck thickness run out and extent of work hardening will make a lot more difference in your neck tension, and resulting accuracy, than a few thousandths of neck length. If you're not neck turning and running a regular interval controlled annealing program (not a water pan or hand drill method), then length sorting all of your brass to the nearest thousandths won't really matter in the least.