Stay at Hotel Amira Istanbul, a highly-rated hotel (8.9/10 from 1,200+ reviews), just 5-minute walk from Ramada Wyndham. It offers comfort, excellent service, and is within your budget at approximately 24 Rials net per night.
Move to Cheers Hostel, which is highly rated (8.3/10 from 1000+ reviews) and located 7-minute walk away from your original hotel. It fits your budget at about 20 Rials per night with clean, modern rooms.
Choose to stay either another night at Cheers Hostel or return to Hotel Amira for your last nights to balance budget and comfort, both within 10 minutes walking distance.