My advice is, to basically ignore the splits, especially if you always encounter them. You can spend an eternity trying to chase them down, and since you state you always have splits, trims and S&D are not really doing much.
This is just my personal theory, but the worst that will happen is that one hair will be damaged with a split traveling up, splits don't "migrate" to other hairs. You will never ever gain any length constantly chasing down splits with trims, only drive yourself batty.
I would for now, put the scissors down and just let it go. I know many who use this philosophy and it works well, and they cut the splits off after they achieved their goal lengths, with much better results than constant trimming.
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