There's also the MIT online tutor for exercises http://icampustutor.csail.mit.edu/6.001-public/
This breaks down a bit around chapters four and five where you are plugging in parts of a larger code base, and the accidental complexity starts to dominate.
Of course someone could use the test suite to just make changes semi-randomly until it works, but there's no reason it has to be used that way.
I like the amount of projects SICP inspires. That's one of the best things about it. I wouldn't want to discourage writing a test suite, but I wouldn't suggest studying it by using one.
SICP questions are designed to have elegant solutions, which may be missed, this is one reason why a study group is better than a test suite.