Here a good tip. Add some hydrogen peroxide for oxygen (its good for 24h.) Transfer all the water and fish that you have in your fish tank into the safe bucket, like a wine bucket.
Here the reason why your or any fish would die mysteriously and why its connected to moving them in long distance.
Fish have a sensible connection that like human, cannot be ignore (like a needle under you feats). Long period of stress will get you sick, so has them.
So any vibration from continuous motor or simply walking hard around the house is very bad(if aquarium not directly on cement). In your case, bad road could be fatal if they are not healthy. That why baby fish are transported, they are not fully develope and are less prone from this effect in transport.
So, when someone ask me if the noise from the bubble in a air pumps will stress the fish, i say no. But if you fell the vibration of they air pump, i say yes.
Now, i am thinking that your 2 tetra should be ok for the hole trip in a car or airplane. Actually, are temperature are mild, its the best time of the year to move them. And if your car is modify in a low profile and 1 inch tires, that will destroyed your fish and your back in the process. lol.
p.s. Shipping method from above are ok to.