It seems that you are worrying about the wrong things.
- the power prob is solved by a power cord
- the stand problem is solved by a debater's internal ability to make a stand at any given situation
you should also consider a few things while you are deciding:
1) how much stuff do you usually have (if you are a 1 off K team that brings 1 accordion and a book to every round then paperless is pretty much the same as paper)
2) the state of your computer - sometimes this is a easy solve if you can use another computer for debate, but if you only have access to a crap computer maybe you should stick with paper. While there is always a risk of computer problems, most people who have gone paperless would tell you that these almost never happen. (of course your part of the deal is that you have to take care of your computer)
3) Team file production - paperless debate require that you have paperless macros. Though synergy is able to solve a bulk of macro compatibility problems, there is always a risk that your team is using a really messed up template that synergy does not register
4) tournament schedule - if you travel a lot then paperless should definitely be a consideration for financial issues.
I would vote for paperless. My team travels around quite a bit and it is just more logical as a team to bypass check-in costs. Apart from that I think paperless forces a degree of organization and work that paper debate probably don't. Instead of chucking accordions into tubs, you have to organize individual files into folders. Instead of just printing out random camp files you have to reformat them to fit your template (doing so will at least make sure you read through some of those files). Unlike paper debate where you can easily get through an unhighlighted stack of paper by just marking with a pen, "marking" cards is actually pretty difficult when it comes to paperless so it kinda forces you to highlight your evidence. Convenience is also a big part of paperless. You don't need flip through every tub to see if you have all the files seeing that they are all in front of you. and best of all you don't have to clean up after yourself after the round.