The thermal expansion coefficient is appr. 4 times higher than with bronze. Therefore the backlash shouldn't be too small. At the limit temperature of 100°C the mechanical values drop to 40% of the nominal values. The case temperature shouldn't exceed 50°C, which means the temperature of the gears must not exceed 70°C.
Market offers a variety of different bronze for worm gears. Some of them are described here. "Soft" bronze is good for higher speed, "hard" bronze' is good for lower speed. "Soft" bronze worm gears can be paired with unhardened steel worms but that means reductions in torque and life time. "Hard" bronze worm gears can only be paired with hardened steel worms.
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