I heard that a faulty alternator can drain the battery too when the engine is not running. 25-30 mins of driving a day should be plently to keep a battery going, unless you are using lots of electrics at once. i.e. stereo, lights, wipers, fan etc, may be a bit much on low engine speeds, say just driving around town. but I suppose a healthy alternator should cope.
as mentioned above, check fuses for a drain, but a drain may be hard to find. An alternative/start point would be to disconnect the battery after using the car, and connect it just before you start it. A bit of a pain yes, but it will ensure there is no drain on the battery and if the symptoms disappear, then you know to look for a drain, and not a new alternator!
I had a similar problem with a mk2, unfortunately the car was written off before I solved the problem!