The most common kanji for "sachi" is the one for "happiness/good luck", but there's another kanji for "sachi" that is a combination of "god/God" and "sheep" (God's sheep?). The kanji for "sachi" ("God's sheep") can also be pronounced "yoshi" or "sho".
You can also separate the "sa" and the "chi" and use different characters... "sa": -a kind of fabric -save/rescue -fast -small -joyous (celebration)
"chi" -wise/wisdom (there are a couple possible kanji for this) -thousand
Note: The kanji for "happiness/good luck" can also be pronounced "yuki" or "miyuki" and is quite common, so you need to check which reading people use for it. (I had a Yukie and a Sachie in the same class once both using the same kanji for their names).
Possibilities with "sachi": Sachi Sachie Sachiko Sachiyo
In the manga With the Light (which is about a modern Japanese family coping through the challenges of raising an autistic child), the mother's name is Sachiko. Since the character of Sachiko in that manga is an admirable one, I fell in love with the name ever since reading it.
You can also separate the "sa" and the "chi" and use different characters...
"sa":
-a kind of fabric
-save/rescue
-fast
-small
-joyous (celebration)
"chi"
-wise/wisdom (there are a couple possible kanji for this)
-thousand
Note: The kanji for "happiness/good luck" can also be pronounced "yuki" or "miyuki" and is quite common, so you need to check which reading people use for it. (I had a Yukie and a Sachie in the same class once both using the same kanji for their names).
Possibilities with "sachi":
Sachi
Sachie
Sachiko
Sachiyo