The problem with leaving a colony until April is that you will probably have grotty bees for another 2 months.
As for shaking bees off frames, if they are that bad, you and anyone nearby will be stung to buggeree.
Michael Bush has suggestions for divide and conquer.
Yes - there's a link to his page on requeening really unpleasant colonies here:
http://www.bushfarms.com/beesrequeeninghot.htm
He is honest about the challenge of handling aggressive bees, and I sympathise with anyone in this dilemma. I would think there are two main choices:
1) petrol, as described. A shame, but don't beat yourself up over it too much, as you'll be saving other people from the danger of attack and also preventing the grotty colony's genetics from spreading (not to mention saving yourself from multiple stings and possible bee venom poisoning... I'm not allergic but got quite unpleasant symptoms from 50+ stings on one occasion);
2) divide & conquer. Choose a good foraging day when a lot of foragers are out (midday on one of these hot October days would be good), then wrap up well, smoke the colony well, and move the bb several metres away, enough to give you working space around the depleted bb without returning foragers finding it and having a go at you. Leave one or two combs in an otherwise empty box on the original site, with the lid on. Leave for an hour or so.
Smoke the displaced brood box quite well, and keep a jute cloth or similar on hand to cover the frames when you take the lid off, and a strip of card. To help with finding the queen, brace yourself, take the cloth off, and cover just two frames with a strip of card or cloth, so that the gap between them is covered and all the surrounding frames are exposed. Retreat for a bit, then when you return the Q is likely to be between the two shaded frames, i.e. under the strip of card. If you lift both these frames out together, complete with the card, there's a high likelihood that she'll be lurking in the dark space in between - all the other frame edges will be too exposed to light, which queens tend to avoid. Put the cloth quickly over the remaining frames to reduce angry cloud syndrome, and carry the two frames well away from both boxes to look. If she isn't there, dump the two frames in an empty box some distance away, with a jute cloth over the top, and check another two frames. Carry on until you find her, pick out the queen, squish her, then leave the bb overnight where it is, and unite it the next day with a strong colony. NB. this sound daunting, but the smaller and smaller bits of colony involved really takes the wind out of their sails, at least in my experience. It doesn't take as long as it sounds.
Meanwhile, wait until evening to seal up the box on the original site, which by then will have a lot of very irritable foragers in it, and take it some distance away if possible. Either open the box and let them drift, or give them the petrol treatment. This way, even if you use petrol, you'll only be killing the worst offenders, and you won't be writing off too many good frames.
Personally I'd try option 2) provided there was space available, and option 1) if there was an immediate major risk issue with neighbours etc. and no alternative sites for boxes. But I have to say that I would not normally set up an apiary unless there *was* an alternative place to juggle with really difficult colonies at short notice, because this is bound to happen at some stage unless you're very lucky with queens.
Having said all that, there probably could be a local beek who would take this on for you, but it might be difficult to locate them. Possibly someone on the Forum might step in if they're nearby.
PS - I understand the the OP is only interested in Option 1, but I think it's worth mentioning Option 2 for the sake of others who may find themselves in this situation and want a less drastic option....