The HLL and the iHLL are ... a bit niche - very powerful but restrained in use by heat, range and size.
They have their place for when you NEED that "close" range hammer.
Thinking about it I'm wondering if the scientists will ever manage to ER the Heavy Lasers.
The heat burden would be ... volcanic, cataclysmic even.
ERLL is 2 Damage and 4 Heat over the standard LL - so +25% Damage and +50% Heat.
Taking that a baseline a ERHLL(?) would come out at 20 Damage and 27 Heat ... that's in all likelyhood too good.
Losing the Damage increase and keeping the 27 Heat while going to the ERLL Range brackets would be more appealing to me.