Good inverter for solar gaming?

Decided to try to run my TV and a couple game systems (Xbox 360, Nintendo Switch, cable WiFi, and a 55 inch smart tv off of an old (1990's?) inverter powered by a 100 watt solar system that I'm experimenting on. No problems playing Zelda, though I started with a full battery on my Switch. What I'm looking for, though, is since this inverter I'm using has a horrid standby current with nothing plugged into it but still on, I know I will need a decent inverter that would be well suited for so called vampire loads (such as the TV and game systems in standby), though the WiFi will still be in use. Any recommendations on a decent 300 watt or so capable inverter that won't also drain my battery if left on 24/7 while the TV and gaming systems are in standby? (though I have not taken any readings, I can see the battery voltage going down a bit faster than expected on my solar controller, even with nothing plugged into the inverter)