If you ask me the only way that you will work less than 60 hour weeks in the transport industry is by working for an agency and only making yourself available 3 or 4 days a week. If you do three 15 hour days then you've clocked up 45 hours, however if you want to earn decent money then you have to do the 60 - 70 hour weeks.
As you have a Class 2 Kate, have you thought about doing supermarket deliveries. I think there are a few supermarket distribution centres around the West London area. For example, Sainsbury's have one at Feltham and for sure they will use agency drivers.
The other thing that I would look into given your location, is the catering companies serving the airlines at Heathrow. I knew a bloke who did it for a while, made good money and said it was fairly easy as it was 'shuttling' the containers from the company's base on a nearby industrial park into the airport.
I reckon there are 'nicer' driving jobs out there than recovery, don't get too fixated on it! Good luck with your search!!
When I lived in Hertford I did some agency HGV1 driving for Sainsburys, around London, I had stipulated no central London driving, as I did not know the area well enough, loads of work, I only did weekends as I worked full time..............then I started Minicabbing instead........