A PART 135 AZTEC PLT BECAME DISORIENTED AFTER A GAR AT A HIGH TFC DENSITY ARPT. CONFLICT RESULTED WHEN ACFT OVERSHOT FINAL APCH.

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CLRED TO LAND RWY 21 AT DCA. FROM 100 FT BEFORE TOUCHDOWN; TWR INSTRUCTED ME TO GAR AND ENTER A R DOWNWIND FOR RWY 15; AND THERE WAS TFC ON 3 MI FINAL FOR RWY 18. I ACKNOWLEDGED. IN THE MELEE THAT FOLLOWED; 2 TO 3 OTHER ACFT EITHER HAD TO GAR OR MANEUVER FOR SPACING (MY GAR WAS DUE TO FASTER TFC ON SHORT FINAL FOR RWY 18). THERE WERE LNDG CLRNCS GIVEN TO OTHER ACFT FOR RWYS 15; 18; AND 21. ON MY DOWNWIND I WAS VERY CONCERNED ABOUT MY CLOSE PROX TO THE PROHIBITED AREAS AT THE CAPITAL. IN THIS POS I ALLOWED MYSELF TO BECOME DISORIENTATED AND INADVERTENTLY TURNED BASE FOR; AND OVERSHOT FINAL TO RWY 18. AT THIS POINT I KNEW SOMETHING LOOKED VERY WRONG. TWR ASKED THE ACR JET IF THEY HAD THE AZTEC (US) IN SIGHT. THE REPLY WAS AN OBVIOUSLY ANNOYED YES. AT THE SAME TIME I HAD BEGUN A R BANK BECAUSE I WAS L OF FINAL FOR RWY 18. I SAW THE ACR JET AT MY 4-5 O'CLOCK LOW WHEN THE TWR WAS ASKING THE JET IF THEY SAW US. THE TWR ASKED ME TO LEVEL OFF AND RE-ENTER THE PATTERN OVER MIDFIELD FOR A R XWIND ON RWY 15. I COMPLIED. I KEPT THE RWY IN SIGHT. THE TWR CLRED US TO LAND; AND WE DID SO WITHOUT INCIDENT. THIS WAS ONLY MY 2ND TIME INTO DCA ALONE AND PROBABLY ONLY MY 4TH OR 5TH TIME EVER. I ALLOWED MYSELF TO BECOME OVERLOADED.