B737-700 DEPARTED FROM RWY 34L ON RENO 3 DEP. PUBLISHED DEP SPECIFIES TURN TO ASSIGNED HDG AT MM OR D2.4 IRNO. WITH NEW ILS INSTALLED FOR RWY 34L; IRNO IS NO LONGER EMITTING WHEN LNDG AND DEPARTING TO THE NORTH.

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DEPARTED RENO USING RWY 34L ON THE RENO 3 DEP WITH ASSIGNED HEADING OF 330 DEGS. INITIAL CLB INSTRUCTIONS ON THE DEP ARE TO FLY RWY HEADING UNTIL LMM (LOCATOR MIDDLE MARKER) OR 2.4 DME ON IRNO (FREQ 110.9) WHICH SERVES ILS RWY 16R AND LOC DME (BACK CRS) RWY 34L APCHES. WITH THE ADDITION OF THE NEW ILS RWY 34L APCH WHICH USES IAGY (FREQ. 109.9) AND HAS ITS OWN DME; THE 110.9 FREQUENCY IS NOT USED CONCURRENTLY IN N FLOW OPERATIONS. THEREFORE IN A -700; NEITHER DME NOR THE LMM ARE AVAILABLE AND SO THE RENO 3 CANNOT BE PROPERLY EXECUTED. UNFORTUNATELY; THIS DID NOT OCCUR TO ME UNTIL AIRBORNE AND SO WITH; NO DME OR LMM; WE FLEW RWY HEADING UNTIL ABOVE 1000 FT AGL AND THEN TOOK A 330 DEG HEADING. RENO TOWER; SEEMING TO BE JUST REALIZING THIS PROBLEM AS WELL; ASKED US AFTER WE WERE ON THE 330 DEG HEADING IF WE HAD DME ON 110.9. WE CONFESSED WE DID NOT AND THEY ASKED US TO TRY 109.9 WHICH DID OF COURSE GIVE DME (2.4 DME WOULD NOT BE CORRECT ON IAGY HOWEVER; SINCE THE TRANSMITTERS ARE APPROX 2 MILES APART. IT SEEMS A NEW RENO 3 DEP IS REQUIRED INCORPORATING THE ADDITIONAL ABILITY TO IDENTIFY THE INITIAL TURN POINT UTILIZING DME FROM IAGY (109.9). DURING PREFLIGHT WE HAD DISTRACTIONS FROM A POTENTIAL LAVATORY PROBLEM (TURNED OUT TO BE A NON-ISSUE) AND WE TOOK SEVERAL MINUTES TO DETERMINE THE PROPER SINGLE ENGINE PROCEDURE DEPARTING ON RWY 34L WITH FMG AZIMUTH OTS. HAVING HANDLED ALL THAT; I FAILED TO PROPERLY CONSIDER AND BRIEF THE MOST LIKELY COURSE OF ACTION -- THE NORMAL DEP. A QUICK CHECK OF DME ON 110.9 WOULD HAVE REVEALED OUR INABILITY TO FLY THE RENO 3. THE RENO 3 DEP SHOULD BE UPDATED TO INCLUDE AN INITIAL TURN POINT USING IAGY (109.9). I THOUGHT I WAS A THOROUGH BRIEFER. APPARENTLY I COULD DO BETTER. I SHOULD BE MORE DILIGENT IN MY PREFLIGHT BRIEFING TO ENSURE ALL ASPECTS ARE CONSIDERED.