Kroger owns a few chains outside of their main name so here's a short list of their sub-companies to avoid as well:
"* Supermarkets – Kroger, Ralphs, Dillons, Smith’s, King Soopers, Fry’s, QFC, City Market, Owen’s, Jay C, Pay Less, Baker’s, Gerbes, Harris Teeter, Pick ‘n Save, Metro Market, Mariano’s
- Multi-department stores – Fred Meyer
- Dillons Marketplace, Fry’s Marketplace, King Soopers Marketplace, Kroger Marketplace, Smith’s Marketplace
- Price-impact warehouse stores – Food 4 Less, Foods Co"
From here: https://www.thekrogerco.com/about-kroger/our-business/grocery-retail/
Sounds like you just need two "Mail Plus" accounts. You get 1 custom domain per account and 10 email addresses per user.