This post is for anyone who finds this thread, and wants to know what my working solution is.

I purchased several 4:1 five killowatt baluns from Universal-Radio.com. The brand name and model number is "Hy Power GU4-HF-5KWS". When I tested these baluns with a 200 ohm resistor they showed a 1:1 match. I adjusted the length of the 450 ladder line coming from the Lazy H antennas to find the point where the tuner required the least amount of inductance to bring the system to resonance. The balun stayed much cooler this way. In retrospect I probably could have used a 1:1 balun as well. The length of the ladder line makes a huge difference in how hot the balun gets for a certain amount of power at the design frequency.

The Hy-Power 4:1 balun is Guanella Current HF Balun. It works well and the Lazy H antennas have been performing beautifully.

Thanks for all the replies.

Michael