Character for "□" 西南官话 kuai³¹: "～着走, 两脚尖向内地走" □ is the official place-marker for unknown or unwritable characters. Sometimes though there are appropriate characters for the mistakenly believed unwritable or nonexistent.
Here's my conundrum:
《现代汉语方言音库》
《成都话音档》

□
kuai³¹
～着走, 两脚尖向内地走

《成都方言词典》



《四川方言词典》



I'm willing to bet the missing character could be written 拐, but I haven't any proof.
What character could be written here instead of □?
There could be two answers to this question.

1.拐 can pronounced as kuai in some dialects. For example, in Lufeng dialect, it's pronounced as kuai3.

2.擓(pronounced as kuai3 in Mandarin, Unicode:U+64D3).

This character has three meanings:

First, in some dialects it means scratch, such as ShanDong dialect and Mandarin of Jianghuai.

Second, in others dialects it means carrying on arm, it's used as a synonym for 挎(kua2). In this sense, it can be interpreted as an adjective. To describe the posture that deliberately lift legs in walking.

Third, it means ladle out.

When we use the second meaning, it could be written in the common sayings(一～一～).

Sorry for my terrible English. Hope my answer is helpful.