As intelligent NPCs, dragons will have a range of personalities and motivations; however, since your trouble is with separating them from ordinary humanoid NPCs, I would recommend playing up the stereotypes a bit to add some distinction.
I will draw mostly from Draconomicon here, since the specified system is 3.5. It has some advice on roleplaying dragons, though a lot more on habitat and things like that.
Firstly, dragons have time. Unless they are acting in immediate defence of their hoard or offspring, there is hardly ever a reason to hurry, and it is better to do something right then to rush. To fill the time between, they will entertain their minds with puzzles, whether benign pursuits or malicious scheming as well as the accumulation of knowledge and treasure.
This also leads to their vanity and arrogance. This might vary a bit more, and some dragons are diplomatic enough to hide this from the creatures they interact with, but when one's life is an order of magnitude longer than a human's, it is easy to consider them lesser. An idea could be to try thinking of ants, or some other insect, compared to yourself. This is probably more prevalent with the ones playing the great game than the copper from the description.
They also will seek fortune and fame from the moment of their hatching until their deaths, unlike most humanoids who would do most of this in the adult/middle aged period of their lives. A dragon's hoard (in terms of monetary value) is it's indicator of status (along with age), and a dragon with a small holding will find itself looked down upon.
Additionally, you can add something more species specific to add a bit of personality between the dragons you do have. I can summarize a few of the canon ones for the types you listed, which you can add to taste.
Copper dragons are pranksters and riddlers, and very appreciative of humour. They are generally good-natured, but can be covetous and miserly, as well as very annoyed with anyone who does not laugh at their jokes.
Green dragons are belligerent masters of intrigue and back-biting. As well as treasure, they have insatiable lust for power and victory.
Red dragons are rapacious, greedy, and vain. So like normal dragons, but taken up to 11. They are the most obsessive treasure collectors, and will know the value and origin of every item in their hoard.
Silver dragons enjoy the company of the lesser races, and will protect those in need, though they are generally fairly hands-off unless there is some genuine need for action. They spend a lot of time in humanoid form, usually as either old men or youthful elves. They are probably closest psychologically to the lesser lived races with regard to time.
I'd suggest using these traits to help distinguish your dragons a bit more, at least until you get to having many dragon NPCs that are interacted with frequently. If you want some additional little things, you could do something like accent your speech (draconic puts the stress at the beginning of words, which could carry over into their Common speech) or adopt a mannerism or two.
For books, you can try Draconomicon, which is where most of the info above is drawn from. The monster manual has a tiny bit, though I'm assuming you've read that. There are a few third party books that also deal with dragons, though they might have some differing views compared to official Wizards products (though as DM, you can change whatever you like). For more general information, I'd look into the characterization of very long lived characters in fiction.
Best Answer
You, as the DM, can practically create any template you wish. Your imagination should not be limited by the published rules. Of course, you should pay attention to game balance and such stuff (unless you're feeling quite nasty and your players tolerate your being so. :))
In fact, you can easily improvise creatures on the fly as well. (At least I often do that when running DnD - and my players don't seem to mind. They're in for the story. :)) However, if you feel safer designing your monsters and monster templates in advance, there are resources that may help, such as this official 3.5 article at wizards.com.
As for a more specific answer: I'd say sure, use other dragons for the half dragon template, but pay attention to game balance and world building issues (see the article linked above) when modifying/redesigning the template to suit both your needs and your preferred other dragon (or dragon-like creature.) Know that in fact you won't be using the official half-dragon template but a customized, "house-rules" version of it - not as if there was anything wrong with that. :)