do I have any chance of nursing in houston just yet?

I’m currently an icu nurse working at a level 1 trauma center in dallas. I’ve been a nurse for a little over a year and want to move to houston and the job seeking process has been discouraging. I want to continue to be exposed to complex situations and continue my growth by sticking to level 1 hospitals in houston, and I assumed that having a year under my belt would be enough to be considered and hired. I’ve been applying to the level 1 trauma centers in houston and don’t hear anything back, and I’m realizing it might be because I’m still “too new” of a nurse 🙁 is it logical to continue to apply before hitting 2 years of experience? should I just wait until I have at least 2 years in the field to sort of prove my competence to the top hospitals I’m aiming for?