I'm also an H1B, I get paid the same as my counterparts at my work, and I suspect more than some of them. In my first job in the US I was paid less as a Senior

I'm also an H1B, I get paid the same as my counterparts at my work, and I suspect more than some of them. In my first job in the US I was paid less as a Senior engineer than some Juniors were - when I found out and kicked up a fuss my pay went up. When I changed jobs I had no difficulty negotiating for a competitive salary - I think in part due to an H1B transfer being much less intimidating (and cheaper) than an initial sponsorship. Maybe you should start talking to other employers?