Something I do with more delicate clothes is use the coolest part of my coolest dryer cycle for short periods of time and then open the dryer door for a bit to partially cool them down. Line drying became impractical but the clothes are holding up well this way. Just takes a bit longer x

I think they meant purchase darn tough from REI.

I would avoid any latex gloves. Latex allergies develop with repeated exposure. Given you already have sensitive skin, I would avoid something that has a decent chance of causing you significantly worse and serious issues.

I just order some latex free cleaning gloves from Amazon and unless you are stabbing them with knives while washing, they really shouldn’t rip or anything.