Once you charged the battery after it died, could you drive the car around the block again? Or at least start it and run it for a bit?
If your car is dying off battery charge and the alternator tested good the first place to look is your alternator and how its wired. My bet is you don't have it wired correctly.
A 3 wire alternator should have:
1) a thick (10 gauge) hot wire from the battery positive terminal to the alternator back post. If your battery is mounted in an odd location, use the starter +12v battery wire. Not a switched source. A fusible link here is a very good idea, even more so if the back terminal is in close proximity to any metal from any grounded source.
2) a switched, ignition hotwire (smaller gauge 14-16 gauge) to the the alternator switch. Usually the top of two side posts if you don't know which terminal is which, go back to the auto part store where you tested it and ask them . Sources to use here are your coil/ignition hotwire, or choke hotwire, a switched +12v. This wire turns the alternator on, and is where I believe your problem is.
1 & 2 are the minimum requirements for wiring a 3 wire. but keep going ->
Next, wire up ground and voltage sensor:
3) a good sized 10 gauge or thicker GROUND (-) directly from the battery, on a bracket bolt holding the alternator in. On cars with lousy grounding circuits this wire loops the alternator directly with the battery, even if its a nice new frame-off still ground the alternator don't trust engine ground.
4) a 10 gauge wire from the voltage sensor terminal (second/lower post of two side posts). This wire is not necessarily needed, but it does help. for example your lights are dimming or some power accessory is slowing and you need more voltage through the system so those parts will receive full 12v and your battery will be over-charged, this wire should be wired from its terminal closer to where you need the extra voltage. Many people wire this to the hot post on the back of the alternator or if there is a hot post on the firewall, neither are wrong.
there is an incorrect way to wire a 3 wire which acts as a generator and bypasses the voltage regulator. This works if there is a short path between the alternator and battery, but it is not ideal and when the battery runs low your car dies faster than with alternator. Post pictures so we can see your alternator wiring.
There are many other reasons it could be dying but this is the first step