I was unaware of Secular Institutes, but they sound like what a Third Order would be (?) in which members are still living in the world.
This is not the case. The members will not live in the world, they will work for the Church and they will live a monastic life to a degree. They are not bound by the hours, as long as they are either participating in their ministry, or they are working with the flock. They will be DREs, Youth Ministers, Adult Faith Formation directors, they will provide catechetical training for lay catechists, develop schools for children and create an atmosphere of spiritual formation and educational advancement for all persons of a parish. The best model that you can use for what I envision is the Diocesan Model, or the Eparchial Model of the East. The Abbot, or Prior, leads the group and the whole community will provide for housing, stipends and regular benefits for members as they work in parishes throughout the country. Therefore, each house that the community sets up to take on a new position, for either a married man and his family, or two missionaries in a house, is meant to be a monastic community in of itself. The family participates within the ministry of the brother or sister and it is a vocational discernment for both the husband and the wife. The husband, or wife, does not need to take on the same vows as their spouse, but they do have to approve to take on this type of life should they be called. The spouse can have a regular job, and the communities are given stipends depending upon their needs. At some point, the goal would be to set up a catechetical school and training center for catechists to be sent out from and new members would have to stay to receive training for a couple of years, married would bring their families.
This is the Celtic Model of Monasticism. Monastic life was the life of the Celtic peoples, it was not just for the religious but for everyone, lay and clerical, monk and commoner. The member will wear the habit of S. Columba which is a white alb, with a white scapular, green and gold cincture and a green cape with hood, sandals. Here is a basic day:
NLT 5am: Personal Prayer and Meditation, Study (If the 13 psalms of the midnight office were not prayed, then they must be done, plus the Our Father and the Creed).
6am: Celtic Morning Office (Obligation unless give dispensation by the Community Leader, Community Leaders must get dispensation from local Leader).
8am: At Post and doing tasks
9am: Mid-Morning Prayer (Liturgy of the Hours) (optional)
Noon-12:15: Midday Prayer (optional)
3-3:15pm: Mid-afternoon Prayer (optional)
5pm-6pm: Free Time with Community
6pm: Celtic Evening Office (Obligation, same stipulations as above)
7-9pm: Spend time with Family/Dinner
9pm: Night Prayer
Bed: Can either be before Midnight, or if still up at midnight do Midnight Office.
This model is my basic calendar most days, it does vary according to the work I am doing and if I have a ministry meeting or something. In the event that daily prayer offices are missed, its suggested to pray a devotional prayer (ex. a decade of the rosary). This is the current model used by married priests in the Anglican and Eastern Catholic Church. It’s worked for over 2000 years which is the reason why I chose it, because it is a proven model.
My vision is that by providing strong faith formation directors to parishes that can do in-house catechetical training, it will strengthen lay catechists who are still working in the world, and provide pastors a well rounded faith formation leader who is centered in their spirituality, their education and their state of life. This will hopefully show laity that the religious life is not just for monks and sisters, but is the proper state of all the laity and start to redefine vocation from Married Life, Priesthood, or Religious Life, to Single or Married, and then the level of consecration: Priesthood for men, or cloistered Religious life for single, or consecrated religious life for married men and women, which was the model of the early Church.