Let us know how you get on!
EGBB have been ok with me when I have asked for a VFR transit out of Coventry, Via Honiley out to Bromsgrove. Refused once because of unidentified zone infringer near Kenilworth; late clearance once because inbound traffic. All times I've tried though they have been fairly honest about it...
.. and this was all in a single heli.
C.