Good luck, but I very much doubt they'll take any notice. If they can't even be bothered to make a half-decent attempt with the series this year and with no Live Feed I can't see them giving us what we all want and putting all this effort in. But it's worth a try like you said.
Make sure in your email you put stuff like 'it would free up space on E4 and C4 because you wouldn't have to show Live Feed or repeats on there because of the new channnel + Red Button service'.
If that doesn't work I'd just email them what nearly everyone is thinking 'get rid of BBLB and bring back Live Feed!'.