Maybe I misunderstood things, but, if the heat from the light is needed to maintain adequate temperatures in the grow room, why not make the most of it, why not go for maximum efficiency? If I understand things right you have a glass enclosed hood and you rely on what heat radiates through the reflective hood, glass and is carried by convection out of the hood vents. Is that an accurate portrayal?
If so, why not purchase a somewhat low CFM fan and enough ducting to go from whichever side of the reflective hood you pick to exhaust down to the floor? Any heat that now leaves the light through convection or radiates through goes straight up and then the temperature will slowly build from the highest point down to the lowest.
Why not instead somewhat duplicate the workings of a furnace? Use a fairly low CFM fan and a piece of duct-work to exhaust the freshly heated air at floor level, the coldest level of the grow room? Convection will carry it upwards more evenly heating the grow room from bottom up and when it reaches the reflective hood it will be drawn through, reheated, and again exhausted at the lowest/coldest part of the room.
That or lose the glass and improve the light quality while at the same time maximizing downward heat radiation, which will not nearly equal circulating the heated air in the most efficient manner, to the lowest level of the grow room, but it would still increase efficiency. Either way you have improved your temperature maintaining problems, removed, or at least greatly reduced any risk of an overheated bulb and improved your light quality.