Do you have an external drive you could clone everything to (using Carbon Copy Cloner)?
If you did that, when you get your replacement machine you can just use the migration assistant to transfer the external drive over to your new computer. Depending on the data, you'd be back up and running in no time comparative to installing all the apps and transferring your from scratch.
Well. I would insist on retaining the damaged laptop until the new one arrived. Then I could use the migration tool to transfer. Is it 100% fine doing this with the apps? I've had probs in the past with licenses not being activate properly etc. Adobe are asses with this!