Another option is to install a newer Python. For instance, the current python.org Python 2.7.4 installers (available here) ship with SQLite 3.7.13.
$ /usr/local/bin/python2.7
Python 2.7.4 (v2.7.4:026ee0057e2d, Apr 6 2013, 11:43:10)
[GCC 4.2.1 (Apple Inc. build 5666) (dot 3)] on darwin
Type "help", "copyright", "credits" or "license" for more information.
>>> import sqlite3
>>> sqlite3.sqlite_version_info (3, 7, 13)