I think your best bet is to use Metamask with Electron.
Metamask provide you the opportunity of connecting to the ethereum network without running a full node. You may refer here,
MetaMask takes things one step further, though, as this protocol
removes the need to run a full Ethereum node as well. Bringing
additional convenience to the table, combined with fewer technical
requirements to access dApps, is a massive breakthrough for the
Ethereum ecosystem as a whole.
You may refer here.
Think of Electron as Cordova for desktops. It lets you build
need to tap into native device capabilities, such as file system,
Bluetooth, or USB, you can use node packages. As you might already
know, node packages can call native code. This means that
electron-based desktop apps can do anything that native apps can do.
All what you have to do is to combine these feature of metamask and electron. I think this blog post might be useful to you in this.