def _next_weekday(day_of_week=4, time_of_day=datetime.time(hour=3), dt=None):
    if dt is None: dt = datetime.datetime.now()
    dt += datetime.timedelta(days=7)
    if dt.time() < time_of_day: dt = dt.combine(dt.date(), time_of_day)
    else: dt = dt.combine(dt.date(), time_of_day) + datetime.timedelta(days=1)
    return dt + datetime.timedelta((day_of_week - dt.weekday()) % 7)

import datetime

_3AM = datetime.time(hour=3)
_FRI = 4 # Monday=0 for weekday()

def next_friday_3am(now):
    now += datetime.timedelta(days=7)
    if now.time() < _3AM:
        now = now.combine(now.date(),_3AM)
    else:
        now = now.combine(now.date(),_3AM) + datetime.timedelta(days=1)
    return now + datetime.timedelta((_FRI - now.weekday()) % 7)

if __name__ == '__main__':
    start = datetime.datetime.now()
    for i in xrange(7*24*60*60):
        now = start + datetime.timedelta(seconds=i)
        then = next_friday_3am(now)
        assert datetime.timedelta(days=7) < then - now <= datetime.timedelta(days=14)
        assert then.weekday() == _FRI
        assert then.time() == _3AM

import datetime
import dateutil.relativedelta as reldate

def following_friday(dt):
    rd=reldate.relativedelta(
        weekday=reldate.FR(+2),
        hours=+21)
    rd2=reldate.relativedelta(
        hour=3,minute=0,second=0,microsecond=0)
    return dt+rd+rd2

if __name__=='__main__':
    today=datetime.datetime.now()
    for dt in [today+datetime.timedelta(days=i) for i in range(-7,8)]:
        print('%s --> %s'%(dt,following_friday(dt)))

2010-03-05 20:42:09.246124 --> 2010-03-19 03:00:00
2010-03-06 20:42:09.246124 --> 2010-03-19 03:00:00
2010-03-07 20:42:09.246124 --> 2010-03-19 03:00:00
2010-03-08 20:42:09.246124 --> 2010-03-19 03:00:00
2010-03-09 20:42:09.246124 --> 2010-03-19 03:00:00
2010-03-10 20:42:09.246124 --> 2010-03-19 03:00:00
2010-03-11 20:42:09.246124 --> 2010-03-19 03:00:00
2010-03-12 20:42:09.246124 --> 2010-03-26 03:00:00
2010-03-13 20:42:09.246124 --> 2010-03-26 03:00:00
2010-03-14 20:42:09.246124 --> 2010-03-26 03:00:00
2010-03-15 20:42:09.246124 --> 2010-03-26 03:00:00
2010-03-16 20:42:09.246124 --> 2010-03-26 03:00:00
2010-03-17 20:42:09.246124 --> 2010-03-26 03:00:00
2010-03-18 20:42:09.246124 --> 2010-03-26 03:00:00
2010-03-19 20:42:09.246124 --> 2010-04-02 03:00:00

two = datetime.datetime(2010, 3, 12, 2, 0)
for date in [two+datetime.timedelta(days=i) for i in range(-7,8)]:
    result = following_friday(date)
    print('{0}-->{1}'.format(date,result))

2010-03-05 02:00:00-->2010-03-12 03:00:00
2010-03-06 02:00:00-->2010-03-19 03:00:00
2010-03-07 02:00:00-->2010-03-19 03:00:00
2010-03-08 02:00:00-->2010-03-19 03:00:00
2010-03-09 02:00:00-->2010-03-19 03:00:00
2010-03-10 02:00:00-->2010-03-19 03:00:00
2010-03-11 02:00:00-->2010-03-19 03:00:00
2010-03-12 02:00:00-->2010-03-19 03:00:00
2010-03-13 02:00:00-->2010-03-26 03:00:00
2010-03-14 02:00:00-->2010-03-26 03:00:00
2010-03-15 02:00:00-->2010-03-26 03:00:00
2010-03-16 02:00:00-->2010-03-26 03:00:00
2010-03-17 02:00:00-->2010-03-26 03:00:00
2010-03-18 02:00:00-->2010-03-26 03:00:00
2010-03-19 02:00:00-->2010-03-26 03:00:00

from datetime import *
>>> today = datetime.today()
>>> todayAtThreeAm = datetime(today.year, today.month, today.day, 3)
>>> todayAtThreeAm
datetime.datetime(2010, 3, 12, 3, 0)
>>> nextFridayAtThreeAm = todayAtThreeAm + timedelta(12 - today.isoweekday())
>>> nextFridayAtThreeAm
datetime.datetime(2010, 3, 19, 3, 0)

In [15]: pendulum.now().next(pendulum.FRIDAY).next(pendulum.FRIDAY).add(hours=3)
Out[15]: DateTime(2019, 5, 3, 3, 0, 0, tzinfo=Timezone('America/Los_Angeles'))

In [16]: pendulum.now().next(pendulum.FRIDAY).next(pendulum.FRIDAY).add(hours=3).to_iso8601_string()
Out[16]: '2019-05-03T03:00:00-07:00'