At this point, you pretty much need all the ATP mins because airlines won't have time (or the desire) to bring you back for an ATP ride in late July.
Not sure how much XC you have but even if you got hired today it would be hard to get 400 XC by Aug 1st.
If we had this conversation last summer, you would have been OK...they could put you on line to get your XC and then give you an ATP ride at your recurrent. But I think we're past V1 on this now.