The Yamaha HTR-5830 that the OP referred to is a $50-60 used item that is likely 16-20 years old. Even the Sony STR DA-1000ES that dweller recommends is way out of the budget.
Based on this budget, I can recommend looking for some used Polk Rti4 bookshelf speakers. They are typically $60-80 a pair used. They actually aren't that bad for the money.
Like erik suggested, if you can't afford an HDMI audio/video receiver, it's best to try to use the optical output on the TV to connect to your old AVR (like the HTR-5830).