I am not Immigration exports but .....

Can she apply H4 visa?
      Yes, I don't see any relation between I130 filing and H4(dependent visa) ...also H1/H4 is dual intend visa

Is there any other way for her to come here.
           yes, she can try for F1, B1, EB5  and so no............

better to consult  with immigration lawyer 

Good Luck