Pretty much anything that removes the yellow is going to damage your nails in my experience. I've been growing out some serious staining since October and just covering it with colors I know won't make it worse (for example, something like Holo Taco Play Rosé, which is like 99% glitter with almost no color in the polish). I've used one of the HT base coats and haven't had staining from that either, but I do feel like it makes my polish last less time, so it's not the best trade off.
Tbh, I'd try your polishes with no base. I've never gotten yellowing from lighter pinks, so you might be ok without.