[I know this is completely on-topic according to the original question - but there's some things here I think no one has mentioned that are important, excluding #1...]
You'd be surprised at how old some government technology is. I go to work and see equipment from the 60-70's...
Important Notes:
1. It's not just the file itself that you need to ensure is gone, but the ENTIRE freaking drive, as portions of the file could be hidden within the swap file residue, etc.
2. IF you don't believe they have your hard-drive serial number, you might just be able to do a switcheroo... but be aware that constitutes obstruction of justice along with whatever else. However, if they can't prove it's not the drive... This is taking a chance though, as I remember there's at least 1-2 programs I've seen that use your hard-drive serial number as a unique key to describe you to it's system. However, I don't believe any file-sharing programs do this... as most people would be pissed off to have even less privacy on there. This would be more difficult if you have a pre-made system, with a hard-drive put in by manufacturer, as they'd have serial #'s and whatnot stored somewhere, most likely. (Or could at least say that during X month Y brand hard-drives were put into Z model.)
3. Realize that for most cases, unless you specifically request, there will not be a jury... at least for something as simple as a "one guy downloaded something he shouldn't" case. All it takes is for that judge to find you guilty. Having the defendant completely destroy what they think is all evidence of guilt, along with some partial-evidence provided by the DA (log files, etc.), may constitute in their mind enough to find you guilty. I'd speak with a non-involved lawyer about this and see what they think would be likely to happen if you destroyed the drive... and realize it needs to be an 'accident,' anything else is knowingly obstructing justice.
4. I'd be careful of where and how you accessed even this online. They obviously have monitored the net activity to some extent. Having an 'accident' occur to the evidence, preceeded by posts here (that you visited), saying to destroy it... makes ya look even more guilty.
5. Personally, I'd look into anything and everything that could show someone *else* as having done the "crime." Is it possible someone messed with your phone line on the outside of the house, simply plugging in when they knew you weren't online and using your net? Do you have wireless net?!? That would definitely help! Most people have no idea how to properly secure wireless LAN's, and this could help you. It'd be VERY easy for someone to hijack your net service this way, and there's no way they can prove that someone didn't do it, as far as I know.
If I think of anything else I'll reply...