The real sin is why we can’t have this mass more available and why I must subject myself and my family to such offenses and abuses in order to avoid sinning. Something is wrong with this equation.
I have struggled often with this myself, and have come to peace with it (after about 10 years of struggle - this of course is not to say it doesn’t still bother me). What you should try to do if you cannot find a TLM (or other Eastern Rite if that is preferable for you than the Ordinary Form (NO)), is fulfill your your obligation at the Ordinary Form, in accordance with Canon Law. Try and go with an open mind, with charity. Focus on the fact that no matter what abuses may or may not occur, so long as a valid priest validly confects the Eucharist, Jesus Christ is present. He should be your focus. If, God forbid, there are abuses, offer any suffering you exprience on account of it to Christ present in the Eucharist. Use that time to pray for the Church, for the healing of it, for the strengthening of the Clergy, for expansion of the Church.
I also find that it is very humbling to consider my own sins at this time (if there is some liturgical abuse occurring), and take them into the context of how much my personal actions and inactions have offended God, since those are what I personally will have to answer for. It helps me to feel more charitable and less judgemental of anyone who might be less reverent than I would like, or anyone who might be committing an abuse.
It’s not easy to place yourself and family in such a situation (my children have asked me why we go to that different Mass). Use it as a springboard for catechism for your kids. If you don’t know the answers, use it as a springboard for yourself to study Vatican II, and the Church documents pertaining to it. Study the GIRM. God will let you use any abuses to bring you and your family closer to Him, if you let Him. This is preferable to becoming bitter and accusatory.
Ultimately, I have to remind myself that God won’t abandon His Church - any Catholic will be able to see where it is. Any faults and missteps that happen along the way will be corrected in His good time. We just need to unite our prayers to His will.