US Destinations
There are only two reasons for offering services from BHX to the USA.
First, to serve a major hub, ATL, ORD or EWR are the most obvious candidates, but as crewmeal has said, so far there is no sign of any carrier showing interest in re-opening service from ORD.
Second is point to point (charter or quasi scheduled services) to leisure destinations. These are limited realistically to the Orlando area (ORD or SFB) and Las Vegas. beyond that, the market is fragmented, with holiday makers from the UK generally flying scheduled to destinations anywhere from New England to California though either London or Manchester.
Inward, as I must have said umpteen times, the US public is so geographically challenged that they believe pretty well the only destination in England is London, then Stratford (half of them would probably wind up in E15 staring at the Olympic park) which they believe is not far from London. Getting significant inbound leisure traffic to chose BHX will be an uphill struggle.
Visit Britain does nothing to alter this perception.
I'm not sure why people are so obsessed with transatlantic. the USA is no longer the world's economic powerhouse, and manufacturing centre. That has shifted east - to India, China and other Far Eastern countries. it is to these areas that the development team needs to be addressing their (long haul) attention, not the USA.