Big Chris,
If that Le Tour fits then it's worth getting a decent rear wheel. The good news is that it should not be expensive, and I'm talking under 30 bucks.
I just posted the following on another thread, it applies well here:
If you're not into wrenching -and I recommend that all vintage lovers take up a wrench- then that beat wheel sounds like its time for a replacement.
Used freewheel-ready rear wheels aren't to hard to come by -- nor are they expensive if you are not in an overnight kind of rush. I'm assembling a decent collection (I need them all(:-) ) from garage sales, police auctions, trash. You should be able to find some soon.
I've also built several sets of wheels from good hubs I cut out of bent/wrecked wheels. I'll be glad to look up a link for a tutorial for you if you want.
The wheels I have on my commuter were the first pair I ever built. They've held up well for nearly a year of constant use. It's a great feeling to ride on wheels you laced yourself.