If you're interested in a real deep dive into the linguistics of ASL, I can't think of anything better than the Green Books. It's ideal to have a decent amount of fluency at your back already as the text is very technical and not particularly appropriate for a beginner or a casual learner. But if you're really a linguistics nerd, it'll probably give you what you want.
I didn't click over to the full Wikibook article, but anything that tries to prescribe a singular structure for any language is going to be too reductive. Both examples are technically correct. Learners tend to get caught up in the idea that there's One True Way, but that's no more accurate for ASL than it is for English. I can construct my sentences all different sorts of ways and still have them be grammatically accurate.
You're absolutely right about your last point, though, and inflection is a huge feature of ASL. Adverbs are often rolled into the production of the verb itself, as well as non-manual markers. In the example sentence, you might exaggerate SIGN at a deliberate, steady pace to indicate you want someone to slow down. I wouldn't just say I entered the house quietly, I'd also hunch up my shoulders and hunker down.
FYI advanced gloss is far more detailed than you may realize. For example, see http://theinterpretersfriend.org/tech/cl.html and http://www.start-american-sign-language.com/sign-language-symbols.html
It can get more complicated. For more information, also see the American Sign Language "Green Books" Teacher's Resource Text on Grammar and Culture http://www.amazon.com/American-Language-Teachers-Resource-Grammar/dp/093032384X/ref=sr_1_1?s=books&ie=UTF8&qid=1420357361&sr=1-1&keywords=American+Sign+Language+teacher+cokely#reader_093032384X