BS in engineering gets you on the job market lots of places, BS in physics not nearly as much (to really get good physics jobs, you gotta wind up with a PhD first)
For my EE degree, I had about 15-20 hrs a week on hwk with one or two semesters that were closer to 40hrs a week (particularly time intensive labs), but I was taking full or beyond full loads those semesters to finish in 4 years (seems EE degrees are dragging out to 5 years more and more these days)..
Conversely, my physics/math double major roommate spent about 20-25 hrs per week and he walked on to the Division 1 baseball team at our school his first semester of sophomore year only to decide that he'd have to pick 2 or 3 at best of baseball, academics, sleep, and college life, so he ditched the baseball.
Anyways, if you enjoy theory and proofs, physics is likely to have more appeal, but if you enjoy tinkering and building stuff, I'd go engineering. Software or computer engineering will leave you doing lots of coding (some hardware for computer), electrical engineering imo has the widest range of applications (robotics being my favorite and my area of research), and I'd also recommend checking into mech E and aerospace. The chemical/medical/bio engineering disciplines is a whole world I don't know or claim to know, and civil engineers build targets... er no offense to any civvies out there. (Actually most civvies I know are working water and green energy projects).
If you can, tour the various engineering and physics departments at the school(s) you are considering attending, and see what research is going on (and whether they let undergrads participate in research!!) as well as what lab space they have. Many schools have an open house day where you can see what kinds of things the students get to do at that school and talk to professors etc. If they don't, then call up and see if they have any students who would be willing to give tours. We do about 20 tours a semester through our robotics lab at my school. If you do get a tour (mine happened to be from the chair of the department) ask lots of questions.
Also, the Engr/Physics classes don't really kick in until your second or third semester so you can usually take the intro classes your first semester to get a taste.
Both degrees require hard work, dedication, and commitment, so you have to go in preferably with an interest in the field, and with an expectation that they are not easy degrees and will require sticking with it to succeed.