PA28 ON APCH TO GCN EXECUTES MISSED APCH DUE TO WX TURB AND ENTERED RESTR AREA WITHOUT ATC APPROVAL.

Narrative

APCHED GRAND CANYON ARPT IN IMC. CTLR VECTORED ME TO THE ILS FOR CIRCLING ARR. WX WAS ROUGH AND THERE WAS A STRONG WIND (BTWN 20-30 KTS). ATC APPARENTLY DID NOT TAKE WIND INTO CONSIDERATION AND GAVE ME A VERY SHALLOW INTERCEPT ANGLE. AS A RESULT; MISSED OM BEFORE CAPTURING LOC. CAUGHT FALSE GS AND DSNDED RAPIDLY UNDER AUTOPLT. DISENGAGED AUTOPLT AND HAND FLEW. CALLED TWR TO RPT MISSED APCH. TWR ASKED IF I COULD SEE THE RWY. RPTED 'NO RWY IN SIGHT; GOING MISSED.' BEGAN MISSED APCH AT 6.7 DME (APPROX 1 NM LATE). MISSED APCH CALLED FOR STRAIGHT-OUT TO 10000 FT. WITH WIND AND SLOW CLB RATE EXPERIENCED IN TURB AND AIR; DID NOT REACH 10000 FT UNTIL IN OR OVER GRAND CANYON RESTR AIRSPACE. CALLED CTLR TO TELL HIM I WAS STILL ON RWY HDG AND NOT YET AT 10000 FT. HE TOLD ME TO GO DIRECT TO VOR. CIRCLED BACK AND ULTIMATELY GIVEN INSTRUCTIONS FOR SECOND AND ULTIMATELY SUCCESSFUL APCH. ISSUES AS I SEE THEM: 1) ATC GAVE BAD INSTRUCTIONS FOR FIRST APCH. POSSIBLY DID NOT UNDERSTAND WIND CONDITIONS. 2) MISSED APCH PROC AT GCN PROVIDES INSUFFICIENT ROOM TO AVOID INCURSION IN RESTR SPACE.