Ok, so - I haven't actually done much more than think about this and start gathering a few bits...
Gathering:
Hitches are somewhat limited here - pretty much all that is available in towball format is a 50mm ball. So, I either have to use one of those, think about using a pin hitch, or fabricate something else. For simplicity the 50mm ball is what I intend to go for. I have sourced a trailer hitch that has the sliding section for brake operation and is free to rotate (which accounts for possible trailer roll as well as cornering). I also have a set of hydraulically braked trailer suspension hubs and a single output brake master cylinder.
The thinking/calculating part:
Weight - I stated up to 150kg (336lbs) as that is the maximum legal gross laden motorcycle trailer weight here in the UK. It's my theoretical maximum that I am designing the 'system' to be able to cope with rather than a target to load to every time. Now, I weigh aroundabout 70kg (155lbs) and in the 2 years I've had the k I haven't ridden it 2-up.
The k75s specs say the kerb (wet) weight of the bike is 229kg (504lb) and the max gross weight is 450kg (992lbs). So, me with 9kg (20lbs) of clothes on, on the bike = 308kg (678lbs). That leaves me with 142kg (314lbs) to play with - but, that is extra weight I could perch on top of the bike before BMW thought I would be running into possible issues.
The maximum gross weight of the bike is based not only on brakes, but also on suspension and engine power. Because the trailer would be essentially separated from the bike suspension (apart from a few kg for nose load) that can be considered as out of the equation. Once I get the trailer braking system set up correctly that should also be a negligible additional load. The only thing that really needs to be considered is the power aspect - and as a legal max trailer would only take me say ~20lbs over the gross bike weight and towing would be a leisurely activity anyway I don't think it's a huge concern. Yes, I know the figures are a little off, it's only rough conversions ;)
As for the towbar itself, there seems to be very few options as I'm sure can be seen from the earlier discussions. I think I saw one that attaches to the footpeg plates, but even a light trailer is a lot of weight to trust to parts really not designed to take anywhere near that sort of load - I can deflect them by hand so a loaded trailer during cornering would concern me.
I did see one setup where the main load bearing bar extended forward to where the peg plates mount to the gearbox, which is a little better. Either way, there also has to be a strut or similar to the rear subframe for extra rigidity.
My current thoughts are to pick up the gearbox to frame mounts so that the main loads are borne at a specific load bearing point - then to follow the frame up under the seat and finish down at the base of the rear mudguard. I would really like the hitch assembly to be as non-intrusive as possible so a whacking great bar really does nothing for me...
Anyway, that's pretty much where I am with it - I'd really like to get it done before summer kicks in (as much as it does here) so now there's at least one other person looking at this it would be interesting to bounce ideas around a bit.