I think either would be commonly used, but the "being" version sounds better to me. You are drawn to nouns, and being is a noun here.

Hi Shirleen, I agree with the 2 earlier responses and have some further comments to add. "I find myself drawn...." suggests a a desire or feeling that has developed over time, its a reflection on how you feel or on the position you find yourself in, so it fits quite nicely with "to being a researcher", which focuses more on the state of being a researcher rather than the end point of attaining the position of a researcher.

I have found myself took a fancy to a researcher.

Being

I think the first one sounds better. For some reason the second one makes me think of draw as in draw picture. Like all of a sudden a cartoonist drew a picture of you as a researcher.