The Halifax ditched the front turret to achieve that.
The Halifax ditched the front turret to save weight and decrease drag; the aeroplane was too heavy and draggy and thus was too slow, not being able to reach its target performance figures. Keeping up was its problem.
Bomber Command always kept daylight bombing in the back of their minds.
Very much so, as I mentioned a considerable percentage of Bomber Command raids were flown in daylight hours, particularly raids against coastal ports and over occupied France because it was reasoned that during the day, accuracy increased, particularly at low level, which is what many of the daylight raids were flown at.
This is where questions have to be asked about the efficacy of such an aircraft combined with existing types within Bomber Command. It's not a bad idea, but to what degree to you apply this? As I mentioned earlier, standardisation on a single (or two) type/s is sensible, so how many of these 'fast' Lancs can you afford to convert? Bomber streams are flown at the cruise speed of your
slowest aircraft, so having a mixed fleet is not going to enable any real advantage in speed until the drive to get home, that is, unless these aircraft fly single type ops only. And then what does that look like in terms of planning a raid? The higher the number of bombers, the more effective destroying larger targets becomes.
The other thing is that by adding more powerful engines to the Lancaster, you create a Lincoln and with a Halifax, you get a Halifax VI, both of which demonstrated excellent performance compared to their base models, so what advantage would building an unarmed variant have that these armed aircraft with more powerful engines don't have?
Another factor wirth considering is that the RAF acquired B-29s post war, which demonstrated that perhaps it needed a faster bomber, but it was an interim until the Canberra. Would this unarmed Lanc be able to match that performance of a B-29? Not likely. best to build an entirely new bomber