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As a bit of a tangent, you can drive up to Chambers Bay in 1/2 the time and then your choice would be pretty straight forward. 2.5 hour drive (5 total) versus 4.5 to 5 hour drive (9 - 10 total).
Of course CB is not BGDR (no disrespect to CB).
Since Bandon is such a trek from Rip City (as has been mentioned) if you are heading there, you HAVE to get at least two rounds in (a choice bribe would be well worth the cost) - any two of the four courses would be a good mix. Maybe drive down one aft, stay the night - play 18 real early, lunch, 18 on another course - then head back that evening (you'll be exhausted but it will be worth it).
If you can get two days - then I totally agree with Jim - play the courses in order of construction.
My single course advice would depend on how important playing along the ocean is to you?
If it is very important then PD would be my first choice followed by BD (several all world ocean holes) and OM (where you see it a couple of times).
If the ocean doesn't matter, but you may not be back for a while, then I would play OM, PD, BD, BT in that order - but you can't lose with any of them.