To comment further on the last board/good set issue, you state that you believed that you are having a good set, so we will assume it is late in the set, and possibly even the last board (ok, having determined now that it IS the last board from the thread title). If you normally open this hand in fourth seat, then there is no reason to vary from that. If you normally pass this hand in fourth position, then thats what you do. Stick with what got you here, dont change it in an attempt to create action. You usually will create it, but not with the desired results.
If your partnership tends to favor aggressive opening styles in 1st/2nd seats (opening 11-12 counts, rule of 20, LTC, etc), then I would pass. Partner has passed already, denying any of these possibilities, making it more likely his hand is the 7-8 count at the table.
If, on the other hand, your partnership style is to play sound openings in 1st/2nd position, then opening this hand is (almost) a must to protect your part-score.
Like Ben, I think opening the minor will work better with this hand (as opposed to opening 1S), but I will open 1C and pass partners bid, unless this opening is systemically precluded (you say that most of the field is playing precision, but not that you are). This gives you three options to play (1D, 1H, 1S), and it allows you to reasonably compete to 2D, or 2H if it becomes necessary. If it goes 1C-p-1D-p-p-? Now opps may try to balance in a major, which we will like

.
If you are playing precision, then open 1D.
As always, jmoo.
3 passes to you.To open or not to open?