[ Sorry for long post, but this is the beginners forum so, I am giving a long explanation. ]
Someone mentioned angling the launch rod... IF you do this, read up and talk to people with lots of experience...otherwise near straight up is usually best. ie. you said Big Bertha as an option, and "small" motors to help with wind.
Here is what "could happen" with that arrangement. The Big Bertha is an over stable rocket. This means it will naturally turn INTO the wind. This is because the wind pushes the fins from the side, so the nose points into the wind. Add a low thrust motor so its not going fast enough leaving the rod, and this wind induced turn is greater. This is called Weathercocking.
NOW suppose you are concerned with the wind blowing it out if your field while under chute... so you angle the launch rod into the wind, and use a low thrust motor. The natural turn from Weathercocking ADDS to your rod angle and your rocket goes at a near horizontal flight into the wind. It doesn't get much height, so your delay is too long, and goes off while your rocket has a lot of speed and is very low to the ground. This can cause the shock cord to tear the body tube (called a "zipper"). Worst case the rocket hits the ground before the ejection charge fires, and now its a fire hazard.
As you get experience with different rockets, in different winds, this will make more sense... also get the rocket simulation/design programs that can calculate this, but that more advanced. The simulation has to be built and entered correctly, to give good information. Rocksim (purchase) and Open Rocket (free)
Summary:
1 - big fins: don't angle the launch rod into the wind. Ok to do some for smaller fins as the natural wind induced turn will be less. (Really big fins, maybe a little angle DOWNWIND could be useful.)
2 - low thrust motors leave the rod slower and wind has more effect. Use higher thrust, lower total impulse motors when its windy.
3 - if its too windy fly kites.