There are many options out there but I would get a Daiwa Legalis reel, and pair it with a Shimano Convergence or Clarus rod. With the Convergence you will be at around $130 and with the Clarus you will be right around $150.
The Legalis reel from Daiwa is about the best bang for your buck on a spinning reel and both the Convergence and Clarus rods are very sensitive for a budget rod.