Three whole days I would say would be fine depending on what activities you are planning but if you are reckoning on driving each day from Puerto Natales, it is a two or three hour drive.
Uf you add to the hotel, the costs of a car hire or tours, you will get to the rate of a room i the hotel more less, maybe more.
The best would be to hire a car and stay in the park 2 nights at least.
Not all the hotels are expensive, there are cheap alternatives as well.even refugios and camping sites.
Otherwise, consider 2 hours each way daily.
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