-soraa

Well, from what I understand not at all. So I think you could just play whatever order that you want to play in regard of Chrono Clock, and coincidentally I did playthrough that almost like your plan - I'd already finished both of DD's and Misaki's (Her name was not Mikoto for the info), and right now stalled in Makoto's route. Have fun.
PS - By the way, in regard of Miu let me give a hint that I did called the prologue as 'Miu arc' and Miu's route as 'Miu's end'. Find out the reason by yourself.

From someone who read DC III first: it won't do any harm if you play DC III first. Yet, you'd enjoy it a bit more if you complete DC II beforehand.
As for DC III, all routes are necessary to unlock the true route. Ricca's route was fine, can't say the same form Himeno's, and Aoi's route was pretty good to me.
Now, regarding DC II. I found Anzu's and Yume's better than the rest (always considering I'm more interested in drama than romance), still the true route was even better.
I encourage you to play DC II before continuing with DC III.

Another week, another update here. So here goes:
Common Route Part 1: 100.0%
Common Route Part 2: 100.0%
Ai: 100.0%
Renna: 0.0%
Maki: 39.89%
Saeko: 0.0%
Total: 59.51%
Eight days left before Urrim go to Japan, and he hope that by that time he could translated half of Maki's route there. Let's see whether he could do that or not later, although I hope that he could.
That's all for this week.

Our translation isn't available yet unfortunately but this is exactly what Izumi is in Clover Day's (best girl IMO too.)

It's a very good VN. And, yes, you should wait for the official release, both because the fan translation was poor and because fan translations shouldn't be used once a game is licensed.

I think all of the recommendations were good, although I still want to give some more recommendation here though. From mine I think Koichoco could be good if you want some school politic, or if not perhaps Koiken Otome could be good as well even though it had some superpower setting. Oh, and Yoake was quite good looking even though it's supposedly 2005 VN, and of course had some romance. For the last recommendations here, I think you could try Da Capo trilogy later. Hope this would be help here, and have fun.

I'd avoid Chrono Clock and Koisuru Natsu no Last Resort as they start off good but both get really boring really fast which is a shame they both had potential. 
Kono Oozora ni, Tsubasa o Hirogete - Is pretty good but don't buy it on steam download it from somewhere else as the Steam version is so heavily edited for it's all market audiences that some parts don't make much sense. And Hatsukoi 1/1 is pretty good.
I also agree with what the first comenter said about Grisaia I haven't seen the anime but I've heard from plenty of people that they near enough ruined it compared to what the VN  series gave us.
Noble Works and Draic-Riot are worth trying and made by the same company.
There's also:
Da Capo 2 (Da Capo 3 is not as good as 2)
The Majikoi series 
Wagamama High Spec
My Girlfriend is the President
Katawa Shoujo - isn't for everyone given the subject matter but it's romance and drama and decent enough for you.

You'll like Noble Works I'm sure, Maya's great.