While tghe weather is cold oxygen is probably not gonna be a problem if you have a decent sized container. I would think a 55 gal drum on your pickup bed would hold 4-5 brown trout minimum, unless very large, and most likely twice that, for a 15 min drive in the winter time. That having been said, you have the question of adapting the fish to the new water temperature of your pond as well as the pH and electrolyte changes. You can change the water with an inexpensive bilge pump from Walmart. Just run the lake water in over 15-20 minutes and let the barrel overflow. You can empty and net out the fish. There are rubber webbed nets you can use which are much less likely to damage the protective slime coat on the fish. They sell those too at Walmart, or you can lower the water level in the drum and pour them into the pond if you have lots of muscle or help. A fifteen minute transport time would not warrant concern about nitrogen wastes or, I opine, necessitate aeration. You will have to figure out a safe receptacle to hold the fish in the water you catch them in though. I saw some webbed plastic bins at Lowe's that are maybe 4'x2'x18" that would work and they are pretty cheap.
