If you have a smartphone that is newer than 3 years old, you have Bluetooth. You may want to look more closely to the Polar M400 because it uses Bluetooth to connect the watch to the heart rate monitor and also to a smartphone to pull the data from the watch so it can be displayed and analyzed on a phone, tablet or computer. Most other watch based smart training devices all use Bluetooth to connect to the HR sensor and smartphones. If you're adamant about not having Bluetooth, then look at some of the Garmin Fenix devices but I'm not sure if any of the Fenix watches are going to be within your price range.

Another route would be to look at the Sigma line of HRM watches. They don't use Bluetooth or Ant+ to connect to their HR straps, rather a proprietary radio signal. I used to have one and it worked great for several years. The drawback is that unless you get one of the very expensive ones, you can't pull the data off the watch for analysis.