You can go class D or you can just reduce the amount of power. Think of it this way. Class A is 25% efficient. So you pass is delivering 30w x2 so that means 90w x 2 is just burning off as hear.
You need 1 very good watt to drive those speakers. Even Class A, 1-5 watts may remain extremely inefficient but if you you were to take say a 5w PX25 amp, it will burn off 15w x 2 instead of 90w.
Flea watt tube amps are the way to go. I offer Art Audio which are lovely amps and are magical with Avantgarde, particularly the PX25 but it is a lot more than your current amp. Any good manufacturer that produces a 45, 2A3 or PX25 will give you what you want I think