Buick - Century :: 2001 - Digital Odometer Not Working

I drive a 2001 Buick Century. Sometime last month (or maybe the month before), my digital odometer was on the fritz. There's a little sub-partition to my dash that houses my digital odometer as well as the indication as to what gear i'm in (PRND32). So it started fading a little, then on some days it wouldn't light up at all. I know the odometer is still working, because on the days when it would light up, it didn't pick up where it left off, rather it had been working the whole time I couldn't see it. And this started going in and out more and more frequently until now it hasn't lit up in about a month.

So, i take my car into my mechanic for an oil change (just had to guess at how close i was to 3,000 miles) and I ask him about it. He tells me that it'd cost so much in time and parts that I might as well not even fix it.

So now what? I'm fine just driving around without it. I know what gear I'm in without my car having to tell me, and I guess I can just estimate when to get my oil changed, although it's rather inconvenient. But what do I do when I want to sell it or trade it in? The longer I go without knowing my mileage, the farther afield an estimate will be.

You know, what I was thinking is that I really just need someone to run a red light and total my car. Then insurance would cover me and the odometer would be low on my list of worries. I just hope the airbags still work...