I don't mean becoming a trainer, but more about getting involved in other areas of the business. If there are, are these positions purely voluntary or do they attract some form of renumeration? How does it fit in with flying and flying a 'normal' roster?
There are pilot ambassadors, I believe they get a days credit for turning up to corporate events in waterside, etc. Without going down the management route you could perhaps get involved in recruitment.
If seeing the business is your thing then thats fine. Most pilots generally appreciate it when a good guy decides to get involved. Its a shame the line community generally doesn't support or encourage the good ones as you never know they might even stick with it. However most flt ops pilot managers are good guys IMHO. They extract flying work and typically only do one or two trips a month unless their role requires more flying. To progress I think there is an expectation to gain experience in a department thats not your own which could mean ditching the flying altogether.
Compensation is in the form of an emolument to compensate for the loss of flying pay. In addition there is also a management bonus scheme. Bonus payments are set corporately and dependant on company performance and the individual meeting their own KPIs. The higher up the pole you go the more the bonus.
As NOD mentioned the management roles demand a lot of your time. Always available on a laptop or mobile. You don't get to sign the tech log and go home. It does mean giving up the variety of a normal pilots work and doesn't leave any time to pursue other interests outside BA. Therefore the hourly rate is less, most certainly at the beginning.
If you have the energy and commitment and still want to get your hands dirty but don't fancy management then you could always stand for election as a BALPA rep.
Good luck