Analoha:
This is going to be one long day plus of travel.
You have several options. BTW, I am using 8/20 to 9/26 for dates.
One option would be to fly HNL to Paris CDG (25 hours) 1 stop in Dallas. Then travel to Montparnesse train station (30 min.) and take the TGV to Bayonne (5.5hrs), then the local train to SJPdP (1.5hrs). 32 hours plus time in between scheduled departures. Then Santiago to Madrid (1.5 hrs.) and Madrid to HNL (25 hrs). Scheduling should be easier here.
Option two. Fly HNL to London LHR (20-23 hrs.) Transfer from LHR to Stansted (2 hrs.) airport and fly Ryanair to Biarritz (2.5 hrs) short taxi to Bayonne and then local train to SJPdP (1.5 hrs). Return fly Santiago to Stansted (2.5hrs), travel Stansted to LHR (Heathrow) (2hrs), LHR to HNL (19-23hrs).
Option three - Fly HNL to Madrid (25hrs), Madrid to Pamplona (probably 2 hrs), taxi to SJPdP (check forum to share ride/cost with others). Return Santiago to Madrid Madrid to HNL (25hrs).
All options add up to a long trip.
Some things to consider in your decision making. Do you know anyone you want to visit in any of these cities (London, Madrid or Paris)? Would you like to spend time visiting any of these cities? do you prefer traveling by plane train or bus? Is cost an issue? Do you have to start in SJPdP? Pamplona could be an option, many start there?
Hope this helps. If I can be of further assistance, please feel free to PM me.
Ultreya,
Joe