If you can't psychologically handle the risk and the losses that are inherent to stocks it doesn't matter what your strategy is, your problem isn't going away.
Sympathize with not having enough time for proper fundamental analysis with kids around. Sure is harder to get enough time to have a well researched opinion on a well-diversified portfolio.
Agree that finding a new strategy per se is not going to solve the problem. However, learning and experimentation is always good. Don't know the specifics here, but maybe OP will have an easier time to exit trades - part of the fear may come from feeling so committed to well-researched positions and knowing that they might cause psychological pain over the long run since his strategy dictates not to sell them? To me this would be a logical follow-on from when someone prone to analysis-paralysis has eventually commited. Technical trading will train the sell button to be more frequently used if nothing else. Sure OP will get to use his fundamental skills in some respects while practicing his new strategy - it's not black and white after all.
Also, if fear of different kinds is the problem it might be worth practicing stoicism and specifically 'going without' and negative visualization. I.e. sit for 5 five mintues every day visualizing that you or loved ones get cancer. Or that your kid gets run over by a car, or whatever would really make you hurt. Then (potential) stock movements won't feel so bad afterwards.
Going without can be things like denying yourself a meal or warm enough clothes every now and then, taking a 5 min cold shower etc.