To gain exposure to this field as soon as possible, you should see if your school works with any local firms on internships and Co-Ops. This would be a great way to get your foot in the door and get a taste of what is going on. Your experience as an electrician will be a great asset if you go into the architecture and Engineering world, as a designer or an engineer.
I dont think there is anything wrong with getting into the design/drafting profession, but if I had a child I wouldn't recommend they pursue this field.
I was in a similar situation to yours back in 2001, was in my 3rd year of an electrical apprenticeship and decided I wanted to move on to engineering. I went on the get my BSEE and recently passed my PE.
While I work with a few designers who are former electricians or HVAC mechanics, they are all ridden like horses with little thanks. Many, not all, of the senior drafters/designers make around the same or a few grand more than the fresh out engineers, throw in the PE and the salaries become vastly different.
They also on occasion have to deal with the often unruly fresh out engineers. As a designer/drafter, some arrogant 23 year old fresh out WILL try telling you how to do your job and WILL throw their degree in your face acting like that piece of paper makes them some vast bastion of knowledge. This may not be true at all places, but it has been where I am at now, the last place I worked, and I see it often with the other A&E's we work with now. Do you want to be the hammer or the nail?
If you have the aptitude I would recommend you get a engineering degree. For the first few years at a design firm you will be filling the designer/drafting role for a senior engineer as he mentors you. It will get old and you will eventually want to spread your wings, the engineering degree offers you that opportunity. Otherwise you will most likely stay in the bullpen and gripe about the software package, or why the young engineer got a promotion and you didn't when you both design/draft with the same level of competence. (if you do become an engineer you will still gripe about the software package and complain when the engineer with the PE got a promotion and you didnt even though you're just as good an engineer).