als, I understand what you mean, I am not a CFI either, as a matter of fact I am a student that is going for my check ride next week. I am training in the Cherokee which is the predecessor of the Archer as I understand so they fly similar (sort of a flying brick).
On soft field take off, it takes some back pressure to get the nose off early, once the mains come up, if you relax back pressure with 25 degrees flaps it wants to climb. To keep it from climbing, you need to push forward, as speed builds it requires more pressure to keep you down low.
Like was mentioned earlier, once you feel the mains come up, all you want to do is level off, it will take some pressure. Watch your airspeed, once you hit Vx or Vy, slowly release the pressure and it will naturally climb.
It was said earlier, the plane naturally wants to climb, you have to prevent that until you are at a safe airspeed. It seems unnatural at first, but your instructor will work with you. You may want to try a normal take off with no flaps (less pressure to prevent the climb) and make it a game to see how low you can stay for how long. Pick an intersection or taxiway towards the end of the strip and practice staying low until you get to that point, then let the plane start climbing. You can eventually get it to where you are only 5-10 feet up and it is not a weird feeling.
As your instructor said, you are looking for a specific sight picture, maybe the rivets on the cowl hinge line up with the horizon or something in the distance when you are level.
Take it slow, keep it comfortable, talk with your instructor or find a mentor you can talk with. Ask your instructor to demonstrate the maneuver. When he/she is doing it, look at the sight picture, find out what the rivets line up with. Keep your hands on the controls and feel what it is your instructor is doing and correlate that to the picture you see, or the rivets.
Sorry so long, I had a few struggles myself, sometimes a demo made the light come on, sometimes it was the 50th time we talked about it and the 500th time I messed it up before I understood.
Good luck, keep at it, you'll really be happy you did, I am.