If you have interest in an H-1B, it is worth applying for. The current political climate may not be favorable towards immigration, but the process itself has not changed. If you feel you qualify for an H-1B, I would encourage you to apply.
As far as which employer will give you the best shot, that just depends on your circumstances. In order to apply for an H-1B, an employer must file a labor certification petition on your behalf. No matter the size of the employer, the same petition must be filed.
Don’t be discouraged by the political climate. If you qualify for an H-1B and you have interest in working in the US, you should still apply. I would suggest that you speak with an immigration attorney to determine your best options. At LawTrades, our immigration attorneys have experience navigating the H-1B process and have helped others secure their visas. Visitto see how we can help you!