Hello. I don't know whether these recommendations fit your budget, but here goes: I am a single woman and needed a room near the Madrid airport for an early flight in November 2021. I stayed at Hostal Viky and can recommend it. I had a private, clean, comfortable room. I felt safe and like I was in a village, although it did feel like I was the only one in the building at times. Hostal Viky has a free shuttle to and from the airport, and is only about 10-15 minutes away. I paid about 50 Euros for the stay. Before that, I stayed at Hostal Centro Sol, and can also recommend it, although trains into the city would require more travel. Hostal Centro Sol was also about 50 Euros per night.