My washer has "hand wash" cycle I love and after I hang the stuff to dry on a rack. Black/white striped shirt? I'd put in with the 'dark' wash. If it can't take it then it's gone. Don't usually have a problem with that as most clothes mix well.
I separate laundry by weight(towels, sheets, heavy pants vs lighter weight shirts, etc), dark laundry so it doesn't pick up lint from lighter, shedding things and white wash(I bleach white wash so white underwear and kitchen linens(even if not white-I'd rather sanitized so if they fade I don't care)).