What on earth would make you're monthly HOA fee increase 100% overnight? Furthermore why is your HOA fee so high?
A few things to consider, are these temporary costs or fixed over time? For example if you were to say we have an emergency foundation issue on a lot of combined townhomes that needs to be resolved immediately due to the safety of the members of our community then sure I can wrap my head around that. Your fee would go up but would stabilize after the issue would be resolved. But how on a monthly basis would you need to double your HOA overnight for an entire community of people?
A few things to consider:
1.) If you're dealing with a large fixed expense of some kind have you considered structuring it into a payment plan so you can amortize the monthly payment and it's not such a large jump?
2.) Have you considered second opinions from other management companies or contractors doing the work?
3.) Have you considered canceling some of the services of your community? For example if you have a pool consider filling it in. If theres a security guard at the gate perhaps switch to an automated system. Reduce trash collection from twice a week to once a week.
I don't think the concern here is whether or not the legality of this is viable. I think you have an a serious expense issue on your hands that needs to be resolved by less spending (if at all possible). If I were living in that community I would feel cheated if my HOA cost $1400 and either take legal action or move.