I started out my hifi hobby with exactly that - an iPod Classic.
It was mated to a Wadia iTransport which was hooked up to a Benchmark DAC (the DAC1 Pre was the flagship then). The Wadia was the first of its kind - an iPod digital dock - it basically took the digital data from the iPod, bypassed its (frankly quite shoddy DAC) and passed it to an external DAC.
The DAC1 Pre was also (as its name suggests) a preamp. So all I needed was a couple of mono blocks to drive my speakers.
I then upgraded the power supply of the Wadia and made all sorts of upgrades over time.
These days, of course, you can go for much cheaper options than the Wadia. The Pure i-20 dock does pretty much the same thing for a whole lot less and it even includes a pretty decent DAC inside if you don't want to spring for a new one.
But here are the downsides.
One, controlling the playlist from the iPod is not much fun. The remote on my Wadia allowed me just the basics - pause/play, and track forwards and back. There's no way to change albums or playlists unless you get off your ass and walk to the iPod on the dock.
Two, you'll find that 160GB will get filled up pretty easily especially if you start ripping more of your CDs.
Three, as you've discovered - there's something different about playing back even a bit perfect copy like Apple Lossless on the iPod. I know you'll hear comments like "bit perfect is bit perfect". But give this a try. Rerip or convert some of your Apple Lossless songs into AIFF format or WAV format. Sync them to the iPod and listen to them again. I suspect you'll hear an improvement. And AIFF takes up even more space than ALAC (Apple Lossless) so the iPod's 160GB would start to look even smaller.
If you have a spare PC/notebook lying around and a have a respectable DAC already in your system, I'd recommend having a look at JRiver. It will import the music already in iTunes and even sync your iPod for you - but that's not the main thing. The PC can be used as a pretty decent music server.
All you need is to hook it up to a DAC. If your DAC is new-ish circa 2-3 years, you should have asynchronous USB connectivity. Use a USB cable to hook the computer to the DAC and voila. Instant music server. The good thing is that storage is cheap and you should be able to use a large HDD to keep your music library going for a long time. If your DAC is older, you can grab one of those asynchronous USB-SPDIF devices that provide a way to connect the PC to a SPDIF input on your DAC.
If you are a Mac user and already have iTunes installed, just buy a copy of BitPerfect from the App Store, and download the free Remote app from Apple on your iPhone or iPad. Then hook the Mac to the DAC (either using the DAC's USB input as mentioned in the PC example) or a USB-SPDIF connection.
Hope this helps.