Thanks for the update, Robijnvogel - I was beginning to feel forgotten!
Some things which make me wonder if this problem is local to my setup.
(1) No-one else seems to have this problem - 10-20 crashes a day would surely cause an uproar in the forums!
(2) There are sometimes periods (around an hour or so) when everything works perfectly, and then a long series of crashes every few minutes, occasionally within seconds of startup.
(3) The start of my problems coincided exactly with modpack update to 1.9 - which might, of course, be just a coincidence.
Thinking that it might be my internet connection, I've (a) changed my home router's wifi channels, (b) used my phone as a router, both as a wifi hotspot and USB-tethering. Oddly, such changes sometimes seemed to settle the problem for long enough for me to think I've cracked it, but then the crashes start again, with a vengeance.
I've also un- and re-installed Java, but didn't help.
Other than un- and re-installing Twitch/Curse (and ultimately Windows!), I don't know what else I could try.