You can ask in the Chemistry forum, but if monitors for most of those exist, they're probably very expensive, and not necessarily made for the hobby. It seems like an alkalinity monitor would certainly be feasible, but I've never heard of one. I'd imagine Randy or bertoni in the chemistry forum would know for sure, though.
As for ammonia, have you looked into the Seachem Ammonia Alert Badges? They're not very expensive, and although they're not super precise, they work pretty well. Truthfully, though, in an established tank, you should never have to worry about ammonia, unless something big dies, which hopefully you'd notice.
Here's my theory on nitrites and nitrates. After a tank is cycled, I don't think there's much need to check for nitrites. Like ammonia, it gets converted so quickly, you should never see it. As for nitrates, you should eventually get to a point where you don't have to test for that either. I haven't owned a nitrate test kit in over two years, but I'm perfectly confident that you couldn't detect nitrates in my tank with an aquarium grade test kit. Also, I think this is one of those things you can test by exception in a well established tank. In other words, only test when you think there may be a problem. If your tank hasn't been set up for at least a couple years, though, it's probably something that's good to at least occasionally test.
Although I am not sure what I am going to keep yet.
