Since you’re not resident in the US anyway, it probably won’t make any difference to the company hiring you. Most companies routinely pay foreign invoices.
Basically, if you’re not in the US, they know they’ll have a hard time suing you. The LLC won’t help obscure that.
If you go the US LLC route, make sure you understand the tax implications. Preparing your American tax return may be very expensive. (When I lived in NYC as a European expat, the paperwork for my private tax return cost several thousand dollars each year. American tax advisers who have experience handling foreign professionals know their price.)