I don’t think there is any that can record and export data at that price point. I had similar issues in my home and ended up using an Ambient Weather WS-10 display You can get them with various numbers of remote sensors and you a buy additional sensors separately.

I put one sensor outside and scattered the rest throughout my house. That meant I could look at one display and see how the heat or cold was being distributed. It made balancing things a lot easier.

Best of luck!