It's awkward that this is required to work in a rhotic accent, because that unfortunately removes most /a:/ syllables and a good deal of /ɔ:/ syllables, too. Perhaps you'd allow:

• lakhs, locks, lawks!
• mahl, moll, maul

If a portion of a word is allowed to accompany two whole words:

• khak(i), cock, caulk
• cast, cost, caust(ic)

With the help of a name or two:

• Tata, totter, tauter
• Kali, collie, Cawley
• Dali, dolly, Dawley
• Mali, molly, Mawley
• Pali, poly, Paulie

It's awkward that this is required to work in a rhotic accent, because that unfortunately removes most /a:/ syllables and a good deal of /ɔ:/ syllables, too. Perhaps you'd allow:

• lakhs, locks, lawks!
• mahl, moll, maul

If a portion of a word is allowed to accompany two whole words:

• khak(i), cock, caulk
• cast, cost, caust(ic)

With the help of a name or two:

• Tatar, totter, tauter
• Kali, collie, Cawley
• Dali, dolly, Dawley
• Mali, molly, Mawley
• Pali, poly, Paulie