Welcome back!
My first thought is that we shouldn't set any date-based schedules until we know for sure that your Achilles is comfortable with running daily. Rather than a schedule, we need a set of rules for 'easing in'. This sounds really boring but I would start the way you did originally: an easy morning jog on the treadmill at a very gentle pace (8min). STRICTLY every other day at first e.g. Mon-Wed-Fri, and it's no problem if you miss a day. Start with no more than 2 miles of running. Combinations of walk/jog or hill-walk/jog are great if they ease the guilt at only doing 15min running or if your calf feels a little unsure in the first few.
If you can repeat a distance OK, you can add a mile. So you might go 2-2-3, 3-4-4, 5-5-6 in the next 3 weeks if all goes well. If you repeat it but are tired, a little unsure about the achilles or whatever, either rest or repeat same level. There is always a degree of 'nervousness about re-injury, wondering if it's hurting or not etc, and only running regularly can allay this.
If that sounds too tame, I was re-reading Harry Wilson's book (coach to Steve Ovett) and that's pretty much how they'd start after a month's end-of-season break.
Can you fill us in on any conditioning or rehab you have/haven't been doing lately? Has that calf you've been raising grown into a cow yet? Maybe we can add in some low-impact circuits or leg strength work to give you a challenge for the off days or when there's nothing good on TV...
Once we know you can do 40-50min runs we can think about filling in some of the other days, and doing some faster fun stuff to take advantage of the summer (strides, drills, trail runs, hills...). With kids and a park and track nearby, it would be a real shame not to make use of summer to improve the biomechanics a bit and have some fun.
By the way, my morning runs tend to be 8 minute miles. It doesn't seem to have done any harm.