Just my opinion: quantization is a great evil, a scourge that needs to be stamped out.
I'm not talking about fixing mistakes, that's a fundamental part of the process of production. The difference is in the definition of what constitutes a "mistake" versus normal human variation. The former sticks out and detracts from the song, the latter is essential for establishing groove and feel.
The biggest drawback to the one-man-band approach of building up a song track-by-track is that you lose the interaction between the virtual "players" that would normally occur with a real band playing together.
In the real world, each musician would be taking cues from one another, altering their timing and dynamics based on what the others are doing. A crash to emphasize a word in the vocal, a pause in the bass line to open up space for a drum fill, coordination between drums and rhythm guitar to reinforce the overall rhythm, synchronizing kick and bass, a lead guitar fill to answer a vocal phrase, and coordinated dynamics between all instruments. These things tend to get lost when you construct a song in layers.
The defense is to lay down simple parts initially and then revisit each part later. I will often re-do all of (or parts of) my basic rhythm tracks after all instruments have been recorded, attempting to make them more complementary to one another in the context of the full ensemble.
Drums in particular are an ongoing process, rather than a single step. The song may start with a basic drum pattern that's little more than a click track. That'll get continuously modified as the song is constructed, right up till the end. The very last thing I do before calling a song "done" will usually be some minor drum edit.
This is just a roundabout way of saying that I think your proposed method is a good one. Start with a click, then come back to the drums later on, and continue to refine them throughout the process. Don't be afraid to scrap and re-do entire sections that aren't fitting well.
But whatever you do,
don't quantize! (OK, if you
must, quantize just the kick, but stop there.)
Political correctness dictates that I have to make an exception to my no-quantize rule for EDM and hip-hop. Some genres
expect machine-like quantization, so if you're into those genres, disregard everything I've said so far. And go sit in the corner until you come to your senses.