Going from your first schematic to your second schematic doesn't really help. If anything it might be worse. It's like deciding whether beer is better than smoking.
What you want is either twisted wires, a shielded cable (coax) or differential signaling.
By twisting the wires, the electromagnetic fields that may be interfering with the loop is being twisted. Imagine just one twist, forming the number 8. Then as electromagnetic interference is interfering with both holes in the 8, the current cancels out. By having more twists, you are making more of the cable like an ooooo (imagine infinity symbol), meaning that you are less sensitive to where the noise is. This is probably good enough for you. If your design is going to be on a vehicle, or something else with a lot of noise, then you will probably want to use coax or differential signaling.
The coax is simply covering your signal with ground. The idea is that any noise that would interfere with your signal wire, is instead shorted to ground, and your signal is unaffected. This is slightly more expensive compared to twisting the wires (free). But this is also great.
If you are for some reason in an environment that is so ridiculously noisy, or working with very high frequencies where everything can be considered as noise. Or you just want to be ~100% certain that you want your signal to work as intended. Then you can have two wires in differential mode, one with your signal, and another that is negative of that value. So if you want to send 5 volt, then you would send 5 and -5 on to wires. And if you want to send -5 volt, then you send -5 and 5 volt. The idea here is that any noise that effects your signal, will also affect the other signal right next to it. So any noise will be cancelled out because you will be, on the receiving end, measure from one signal to the other. You will probably need two chips for this, one on the sending side and one on the receiving side, for your particular setup.
I'm not 100% sure if coax is better than differential signaling, or vice versa. But you can use both together which might be something you'd do for a medical product where something just is not allowed to fail. If something fails, someone dies. Just twisting the wires is probably good enough for you, though I don't know if your product is about life and death, or how noisy your environment is.