We have 7 days in Ireland; where would you go and what would you do in those 7 days; and where would you play golf on a course that is inexpensive ($100 US dollars or less)?
I would highly recommend the west coast: Ring of Kerry and Dingle Peninsula each one takes 1 day at least. On the east coast Dublin is well worth visiting and a day trip into the Wicklow mountains another must too.
Hope you have a good time.
You'll have to google for the golf courses but there are some good ones on the west coast near Killarney (this is a lovely tourist town).