I flew my Senior Falcon a couple of times today.

It has a 46 ax on it. The my wheels are 3.5 inches. The nose gear was replaced with a better sig unit. Replacing the original nose gear will help out tremendously on controlling the plane on the ground. There is too much play in the original nose gear.
My 46 ax will pull the Senior around the sky at 1/2 throttles at a pretty good clip.

You may be trying to get the plane in the air before it has picked up sufficient air speed. Force the plane to stay on the ground. Your trainer can show you how. Once you get sufficient speed then and only then apply some up elevator.

You may have to give it a little push to get it rolling. Once it is rolling keep it straight into the wind.

The Senior is a fun plane.

Try the bigger wheels, replace the nose gear, and get sufficient ground speed before you take off. I think your engine will be okay.

Take offs and landings are the toughest parts of learning to fly. Do not get discouraged.

bob