I am pleased to report that the Baogaier wifi dongle and antenna arrived today, and works well. Before installing it, I did a wifi strength test as the B2 has been operating for some time, with the Brennan supplied dongle on the end of a 1m USB lead placed, not very elegantly, at about 1.7m above ground and about 4m from my nearest BT 'repeater' disc. This yielded around -51dBm, though that has in the past occasionally dropped to -71dBm (and I think that has been the cause of my DLNA connected speaker dropping out).
With the Baogaier dongle plugged straight into the Brennan socket and the antenna set vertically at about 1m above ground, a repeated test reading was -39dBm to -41dBm - a significant improvement you will agree! Now, in the band I play in, I use quite a few wireless microphones and guitar transmitters, and these all operate in the same 2.4GHz band that is the home for most wifi devices including this dongle. The recommendation from the manufacturer of the musical wireless items (Line 6, now owned by Yamaha) is to set the little antennae on the receivers to around 45Deg from the vertical, not really sure why, but I have always followed that when setting up for a gig.
So I decided to set the Baogaier antenna to that angle, and now read -35dBm to -37dBm, so that's slightly more than double the signal in power terms. Rotating the antenna to 45Deg in the opposite direction, closer to a nearby large television, removed that 4dB advantage, and rotating it back to the original position restored it, so there is definitely a case for the non-vertical approach.
I will report back if I find any unexpected problems, particularly with my DLNA connection, and should be really interested to hear from any other users who decide to use this particular dongle. At this price, there is possibly a case for the B2 to be supplied with this rather than the standard one.