I have a 1st grader and we just start 2A about a week ago. I have been pretty lax about doing school every single day, although reading and math happen almost to everyday.
Here's what we do:
lesson from the HIG
textbook
workbook
occasionally a few problems from CWP
To get a little ahead, the first few chapters went really quick. I combine two lessons from the HIG or skip outright and explain with the textbook. He did all problems in the workbook. I didn't skip many lessons from the HIG, usually just combined two. A couple of times I let him continue working in the workbook beyond what was assigned, but only if he wanted to. Occasionally we play a math game and he does the mental maths strips, too. I did not follow the HIGs recommendation to wait until all math facts were memorized. The only tests we have done were from the singapore website, after completing the book. It does not take an hour, unless he decides to mosey along with the workbook. I was reading the workbook instructions to him for most of the year, so that kept things on track. Now he is mostly reading the instructions himself. A few times I had to slow down, and think up some extra practice or reteach a different way.
About doing things the Singapore way, I do think this is important. The point of teaching math is to teach my son how to think differently about math concepts, what he already knows or comes up with in his head may or may not work in a few years. There are multiple ways of doing the problems in your head, and he needs to be familiar with those ways and know that they exist. You have to stretch beyond what you already know, otherwise what is the point?