I would argue that Moshe killing the Egyptian was using a Shem HaShem, but not necessarily an utterance. There is an original and highly natural and effective Jewish fighting system preserved among Habani Jews (a type of Temanim) that is needless to say, thousands of years old, first known to Avraham Avinu who was the son of a warlord of Nimrod's.
I learn this system for several hours a week and can attest first hand to its authenticity and effectiveness. The otiot of the Hebrew alef-beit are essential aspects of the moves and forms of this system. You can easily strike, block, take down, choke, and throw opponents via spelling words. I suggest Moshe struck his opponent in a way forming the letters of a Shem HaShem. It may sound questionable to someone who doesn't know the system or the fluidity of it - but it is extremely likely. It is using a Shem HaShem as well, just as Rashi comments.
This would be more in line with things like Shim`on and Levi, at a pre bar-mitzva age, destroying the city of Shekhem. Or the Makabim, a small band of Jewish warriors, literally slaughtering Greek armies.
To answer the question, one could say such things like the creation of a golem by Rabbi Yehuda Loew ben Betzalel of Prague. Among any others who have created a golem, it requires use of a Shem HaShem in its activation.
I think however, use of a Shem HaShem should be avoided by mequbalim. It can easily be considered witchcraft/sorcery for not being used for the right reasons, and I'm not even sure which reasons would even permit their usage.
Bil`am was indeed an evil prophet, as well.