Since you have IGETC done, you’re fine on general eds. It sounds like your backup plan would be part-time community college just taking as many of the technical courses as you can at a lower tuition rate. The problem with technical sequences is that they have to be done in order. You can’t overload and take first and second year chemistry simultaneously. Perhaps you could take one or two STEM classes a quarter for a year while also working to save up for the post-transfer tuition?
Your wish to meet with an advisor is really the best way to figure out if you can graduate UCSB in two years with what you have. Do they offer department academic advising appointments for incoming transfer students?