Thank you both for the replies and the information.
I'm glad to say that Operation Kubrick has been a success
. I can also confirm it installs 3.4. I'm now with the latest Jailbreak and KUAL installed (so there's no battery issue, it can install stuff just fine).
Final question: is there any alternate file explorer, either as a kindlet or a replacement for the native one? I hate the Collections system, I just want to see the documents organized as I put them, in folders and sub-folders.
I was planning on installing Duokan just for this feature, but I'd rather avoid it.
Again, thank you all for the support, you guys are great!