What in the world does your medium of Gorel have to do with the Hetter!? Are you claiming that you just got Nevua because you opened a Tanach? If Gorel is Muttar they are all Muttar. If not, none of them are. If the idea is that you Daven to Hashem to send you an inspired guidance through the Torah which includes all knowledge, that is all very nice but it pertains to the discussion of whether it works or not. These beautiful ideas don’t change the prohibition of following a Gorel.
If you ordained your Gorel with wonderful ideas it becomes holy, all of a sudden? Perhaps using a Chumash is actually way worse since you are being Mishtamesh Betagga. It’s hard to see why that would be better than reciting a Pasuk onto a wound.
Perhaps you can answer that you aren’t really relying on where it opens but will only take a hint, a Siman. Nice Hetter, but this can apply to other mediums as well. We find in the end of Medrash Eicha where Rav Hoshia tells Rebbi to view an event in a certain light because of what they where Darshening that day.
Tosafos explains that Eliezer and Yonason where allowed to use the Nichush since they did it along with a Svara.