I would like to suggest another solution to explain why women may recite birchas haTorah. The Gemara (Berachos 17a) says that people only merit techiyas hameisim for learning Torah. The Gemara asks how women, then, will be zoche to techiyas hameisim? The Gemara answers that they will be zoche by bringing their sons to yeshiva, by encouraging their husbands to go learn, and by awaiting for their return from the beis midrash. We see from this statement that the mitzvah of talmud Torah is not limited to learning itself; it includes encouraging its performance. Those who perform talmud Torah can be compared to an army, which has many divisions and sections, all performing different tasks but all working toward one goal. Even those who are merely bringing supplies and doing deskwork are part of the army.
Thus, since encouraging others to learn is a part of the mitzvah, women who are obligated to perform that aspect of the mitzvah may recite birchas haTorah as well.