if you're not a string breaker try a thinner gauge string, 17g or so if full-bed* multi. it will feel softer at the same tension. Dropping the tension is another option.
I don't know if the headsize is another factor in feeling stiffer than the same setting in a bigger headed stick with a similar rating. It makes sense that the stringbed might feel stiffer on a smaller head at the same tension. I'm sure the resident experts will let us know if this is the case.
* Probably not the best idea to have such a thin gauge multi in a hybrid.