As far as I can imagine it's reasonable for an executor to deduct fees for their time and such (ideally it would be documented, but that would be the executor's problem not yours). As far as I can tell, yes you could just have your brother transfer your part of the inheritance to your Schwab Bank account. I think it's reasonable for your brother to deduct reasonable expenses and such from the estate before calculating the estate's worth (value-expenses-liabilities) and sending half of the final value to your Schwab Bank account.
Federally, you shouldn't need to do anything as the federal inheritance tax exemption is crazy high for US citizens. At least in Texas there isn't an inheritance tax, and you are living in HK, so you hopefully wouldn't be subject to a state's taxes unless your tax residence doesn't matter. I would think that any taxes and expenses that need to be paid from the sale of the house would be paid from the money in estate before sending you (it's not a gift) your half, and ideally you wouldn't need to do anything except wait for the money to get into your account and enjoy it from there. You shouldn't need to file a state return as your address in HK. However, I don't know each state's tax laws (I'm mainly aware of how relatively simple Texas taxes are).
I hope it all works out for you.