alright, if simon L reckons fibreglass harms you like asbestos then don't use it. But you could use polystyrene. That'd be just as good, if not better. And it'd be easier to put in. Just get a load of bean-bag beans and put them in the hoover, having reversed the wires on the motor so it blows instead of sucks, quick bit of cutting and re-soldering, shouldn't be hard.
Then just knock out ONE brick by carefully chiselling round the mortar, and when you've got a decent sized crack all round give it a whack with lump hammer, and out she pops. Then just put the hoover pipe in, and switch it on. Refill the bag, and repeat. And repeat. And repeat. It'll take quite a few goes - only problem is it could get boring. You could get your kids to help you while you make a cup of tea.
A word of warning though with bean bag beans: DON'T open the bag till you're ready to use them and have got them constrained (e.g. don't just rip the bag open - do it carefully) - they run everywhere as they are perfectly spherical and frictionless , they literally flow like a liquid. However, this should be a good thing for their ability to fill the cavity up completely.
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Just remember to put it back before your wife tries to hoover the floor .