There aren't any cheap hotels (under 40TND) that have pools. A 3* hotel, like Hotel Continental has a pool, however it also has a bar that has music playing throughout the night.
You could stay at a residence like Warda Residence and pay for entrance to another hotel's pool (perhaps Yasmine Hammamet or Hotel Oasis). Entrance is usually from 6 to 10 TND a day.
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