Usually I'd check the Hebrew to see if it could shed some light on the Greek translators choice - but this is LXX Proverbs, which doesn't follow the Hebrew Proverbs.
Looking at the uses of περιπατος in the LXX however, it renders the Hebrew דרך/derek the most (x3) meaning "way/walkway/passageway"; followed by one instance of מהלך/mahalak meaning "walk/journey" and לשכה/lishkah meaning "room/chamber/hall".
Presuming LXX Proverbs did actually have a Hebrew Vorlege that it was translated from, I personally think that probably "chamber" or "hall way" would be the meaning: "but converse with righteous people and converse in public chambers".
(Just a quick correction, Prof. Penner: It's Job 41:23, not 41:24
The Lexham Greek-English Lexicon of the Septuagint also gives the wrong reference; the Lexham Analytical Lexicon gives the correct one.)