I don't have the knowledge level to give you valid information. I'd try contacting the regional airlines directly. That might be your best way to get your flying career started in the U.S. Of course more time matters but they also want experience in the U.S. Delaying for more time once you get to 2000-2500 hrs is pointless. WIth that total time (TT) regional airlines should probably be a possibility for you. You can also go to the big job fairs and ask the regional and major airlines directly. WAI (Women's Aviation International) has a big convention in early March every year. It's not limited to just females interested in the aviation field. You'd be able to ask people directly what they require for foreign candidates or you can contact them via LinkedIn, email, etc.

Don't think that 3,000 TT gets you the call. No one knows exactly what triggers the hiring system to select you. About a year ago American Airlines said the avg new hires experience was 4,800 TT and 1,500(?) TPIC time. It's hard to get called with 2500-3000 TT. Think of things you'd like to see on applicants resumes and that might be worth trying to emulate. They DO like 1000 hrs TPIC and the next thing they like is 500 TPIC. Those are known targets to achieve. They often aren't big fans of people who've only flown one type for 7 years or more in one seat. That used to be a cutoff, in at least one system, to not select a candidate who hadn't had any new aircraft training in the preceding 7 years.

I knew a coworker who came from overseas, had 737, A320 and A330 CA and FO experience, and he started out flying King Air 300's (350's?) night cargo to get his U.S. resume started. 12,000 TT, 11,000+ turbine (mostly jet, some turboprop), maybe 4-5000 TPIC, he jumped in at whatever level he could start flying at.