AN ACR B757 FLC FLEW THE WRONG COURSE ON DEP FROM MIA. ALERT DEP CTLR CORRECTED THEM.

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I FLEW LEG AS CAPT. I DID NOT FOLLOW PROPERLY THE VALLY TRANSITION ON THE MIA 7 SID. AFTER TKOF; DEP CTL GAVE US 090 DEG HDG TO INTERCEPT VALLY TRANSITION. I SET 090 DEGS IN HDG WINDOW AND PRESSED HDG SELECT. I ARMED LNAV. HSI/FLT DIRECTOR ENGAGED LNAV A FEW SECONDS LATER. I OBSERVED THAT COURSE LINE ON HSI CONNECTED WITH VALLY INTXN. I FOLLOWED THE FLT DIRECTOR COMMANDS. DEP CTL THEN ASKED FOR VERIFICATION OF OUR HDG. WE REALIZED THEN THAT WE HAD FAILED TO CORRECT THE LNAV RTE TO REFLECT THE SID COURSE FROM VKZ TO VALLY; BUT HAD FLOWN INSTEAD THE MIA DIRECT VALLY COURSE THAT HAD BEEN DOWNLOADED TO THE FMS. CAPT AND FO HAD VERIFIED THAT ACARS PDC MATCHED FLT PLAN AND THAT FLT PLAN FIXES MATCHED FMC DOWNLOADED RTE FIXES. THESE ACTIONS ALONE DID NOT CATCH THE ERROR IN THE LNAV RTE RELATED TO THE SID. I SUSPECT THAT OURS WAS NOT AN UNCOMMON ERROR. PERHAPS PLACING THE SID ABOVE AND ADJACENT TO THE ACARS PDC RTE; INSTEAD OF IN THE TEXT AT THE BOTTOM OF THE MESSAGE; WOULD HELP PREVENT THIS TYPE OF MISTAKE. ALSO; A MESSAGE ADVISING CREWS TO BE ALERT FOR THIS PARTICULAR MISTAKE MIGHT HELP; SINCE THE POTENTIAL ERROR IS BUILT INTO THE DOWNLOADED FMC RTE. OF COURSE; BOTTOM LINE IS THAT MY INADEQUATE ATTN TO DETAIL CAUSED THE DEV. CONTRIBUTING FACTORS WERE FATIGUE FROM SHORT LAYOVER AND PICKUP AND CONFUSION IN THE COCKPIT RELATED TO MAINT AND PAX PROBS; BOTH BEFORE AND AFTER WE LEFT THE GATE.