Let me share a lesson. Reusing tapes while done in consumer land is something to avoid for pro work. In fact, let's say it's something never to be done. Take the tape and box it up along with your project materials and save it.

As to your specs, they're fine but don't limit the budget at first. Find your 24p camera (why do that?) and then look for a time lapse unit. In fact I suggest you don't mix the two features.
Bob