will snubber pass voltage thourgh it?
Simply set smaller enough capacitance in the snubber or remove it at all. 

Notice that the internal capacitance of the triac, together with the high resistance of the load will act as a snubber by itself, preventing high dV/dt on the triac.

The snubber actually does not "protects" the triac, but prevents it by incidentally switched ON because of high dV/dt - mainly when you switch the power ON or on high surges in the power network. 

But such wrong switching is a big problem only in a DC powered thyristor circuits. Working in AC, even incidentally opened, the triac will close by itself on the next half period of the power voltage - i.e. after max 10ms. I don't think it is a big problem for the most loads. At least not for resistive, low power loads.