You need to to get hired as a Jr RCT.
Maybe try working outage at a nuclear power plant as a Jr. RP.
Jr jobs are very hard to find. Contact all of the companies that post RCT or RPT or HPT jobs in our job board. Tell them you will take any job, any where, any duration, for any money. Even consider Decontamination Technician at one of the sites, to get your foot in the door.
You need to get relevant experience on your resume. Or marry into the family... that always works too.
Things that "line up with RADCON" don't cut it in this field, like they do in the "real world". In this world, they want EXACTLY this experience.