How to reform the H-1B program without triggering accusations of racism.

[viva la]

1. Require that they pay the going rate for native workers.

That would help a lot.
Good idea about the green card. If you can get a job and you have skills, why should you basically be completely captive to this one employer who can now treat you terribly and threaten you with deportation if you complain?
You know who did that? Trump. He'd hire foreign construction workers, exploit them, and threaten deportation.
and that's like #88 of the worst things our next president has done.