You will need to take calc-based physics, chemistry, drafting, statics, dynamics, thermodynamics, as well as calculus & differential equations. If you enroll in these courses & find them not suitable for you, you can always return to EET. But since you seem to be comfortable w/ calculus, then I'd say go for the EE. You career options will be greater, as well as your graduate school options. An EET degree requires many bridge courses to get an MSEE. These days, engineering is so competitive, especially with so many graduates from all over the world, that a BSEE will give you limited options. An MSEE, or even a Ph.D. is needed to enter R&D and innovative type fields.
If applying existing technology, or hands on type of work is what you seek, a BSEE or even a BSEET may be sufficient. But with a BSEE, should you later decide you want an MSEE, you are well prepared. With a BSEET, getting an MSEE involves a lot more work. You would have to take many undergrad EE courses before an MSEE can be attained.
Go for the BSEE, and then if it doesn't work, you can fall back on the BSEET. The BSEET degree has provided many with an opportunity to participate in the very exciting field of electronics w/o having to be a master at math/science. It gives the holder marketable skills as the BSEET is highly needed in industry. Not all jobs are R&D theory-intense innovative types of work. In fact most are not. BR.
Claude