Are you still working on this question or did you need more information from me. Thank you

You are definitely not the only person with this problem. While spiderwort is a native plant it is quite aggressive. It spreads in two ways which I’m sure you have noticed. It spreads through an underground root system and through seeds. Each flower blooms for a day but it has many flowers and thus, many seeds. It is important to remove each spent flower before it reseeds your garden. You could paint Triclopyr on the leaves but know this will take several applications over several years to exterminate it. Some people have found planting flowers with somewhat aggressive growing patterns like irises, black eyed susans, or daylilies near it effective as they sometimes outcompete spiderwort. Rototilling will not work to remove it as you will get a new plant from each cut root. Your husband’s suggestion may work over time just as painting Triclopyr may work over time. Each time you remove the leaves (its food source) you come closer to starving it to death. You may find the following articles helpful: Ask Extension - Spider wort (Horticulture) (illinois.edu); Spiderwort: A Tough Pasture Weed - UF/IFAS Extension Bradford County (ufl.edu) ; Spiderwort is invasive and tough to eradicate | Life & Style | sentinelsource.com