>>>" which shall remain nameless "<<<
Not United Fleet Distribution, by any chance? (I worked for them for 2½ years!)
I can't point you in the direction of any relevant websites but I suggest that you look in your local Yellow Pages, under 'Car & Vehicle Delivery Services'. Alternatively, start your search here:
http://tinyurl.com/6a95n4n
Many of the firms listed there are clearly not relevant to your needs but it might be worth phoning some of the more likely-looking ones. (For example, Car Collection Solihull Ltd mention moving commercial vehicles and also using trade plates).
When I was desperate for work as a trade plater I started my search by making loads of phone calls to firms listed in Yellow Pages. I didn't directly find anyone who would take me on, but one of the guys I spoke to was kind enough to contact his colleague who then put me in touch with UFD. I ended up spending 2½ years working for less than the national minimum wage but, even so, it helped me to avoid bankruptcy and to keep my home.
With your HGV and PSV licences (and with a base in the Midlands, rather than 'out in the sticks' in East Anglia where I am) your earning potential should be much higher, so a similar way of seeking employment might help you.
Good luck!
Chris