Just wait till Saturday and then you have six straight days of London to try and squeeze in a ride (only 35 minutes too)?
Personally I think we should only use TT bikes for TT's. And if we can't make the meetups, you should do it solo and not as part of an organised event or race.
The reasoning being - with regards TT bike, although you lose drafting benefits (and possibly some uphill speed - probably more than balanced out on downhill and flat on most routes though), some people when they ride in the meetup end up effectively riding solo if they don't have a group of similar paced riders around them. And if they were on a TT bike in these circumstances they would probably be faster. A good example is a recent race you and I were in and you shot off the front from the start and solo'd all the way to the win and beat me by 30 seconds or so. Neither of us got any significant drafting benefit from each other or anyone else, and if you'd ridden the same power as this solo on a TT bike your time gap would have been even bigger. Similar circumstance happen a lot throughout the league table both at the front and back of races.
And the reasoning behind the no organised events thing is simply you may get more drafting benefit than in a meetup race which again would be unfair.
There's obviously always going to be the uncontrollable variable of random riders on course who provide drafting opportunities, but as this is random and can potentially affect any of us I'd like to think it probably evens itself out over a league if it does have any affect at all. The only way to prevent it is to ride every race as a TT and that would be no fun!