This is going to get ugly ...
Project assigns single calendars to tasks. If I understand correctly, you
want the task to honor the calendar for finish dates, but not start dates.
One way to do this (and I hope my peers can post a better answer) is to
create a special "start days" calendar where only Monday through Thursday are
work days. You can do that with Tools/Change Working Time... then make a new
calendar from there. If you need more help, post back.
You will then have to create a milestone (or at least a 1 minute task) as a
predecessor to "every" task. The reason I say this is that your actual
schedule progress may cause any random task to want to start on Friday.
For each of these "ficticious" milestones, you will need to link a
predecessor from "above" and the normal task as a successor to follow. Then,
assign the "Start Days" calendar to all those milestones. I just doubled the
size of your schedule... I suppose you could create a filter to hide those
milestones.
By creating different calendars with single work days, you can force tasks
to start on any day of the week desired.
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Jim Aksel, MVP
Check out my blog for more information:
http://www.msprojectblog.com