Yes, you should be eligible. You may wish to file for a B1 in lieu of H1b.
The above is intended only as general information, and does not constitute legal advice. You must speak with an attorney to discuss your individual case.
I am honestly surprised you have not ran into issues with CBP yet. While developing business as you state is a legitimate B-1 purpose, you seem to have spent significant time in the United States for the past 2 years. An attempt to obtain a new B-1 can certainly be made, though I would put the likelihood of success 50-50 AT best and only because you are a UK Citizen. Perhaps it is time for your employer to contact an immigration attorney to determine if an L-1 or E-2 visa might be more appropriate. Maybe even a B-1 in lieu of H-1 might work, though it is not the most beloved visa category for Consulates or CBP.
This information is provided as a courtesy based upon the limited information provided in your post and does not constitute an attorney-client relationship.
You can have 55 of them or more, consecutively as long as you qualify each time.
NYC EXPERIENCED IMMIGRATION ATTORNEYS www.myattorneyusa.com; email: firstname.lastname@example.org; Phone: (866) 456-8654; Fax: 212-964-0440; Cell: 212-202-0325. The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter.