Until you state otherwise, the following discussion assumes you are installing the rear A/C unit into your 1976 K25 Burb. You can verify the majority of information by referring to the 1976 Wiring Manual (http://www.73-87chevytrucks.com/techinfo/7387CKMans//Wiring/ST_352_76_1976_GM_Light_Truck_Wiring_CK_10_30_Only.pdf#page=2) as you read along. I posted the rear A/C (C-69) diagram earlier - click on the diagram to expand it. For wiring details regarding the fuse block and power tap, refer to the linked manual.
--------------------------
Power into the blower switch comes from the "unfused 20-amp tap" located directly below the "HTR AC" fuse in the fuse box, which is circuit 300 (10-gauge orange) coming from the ignition switch. The wire connecting the fuse box to the blower switch (also 10-gauge) is protected by a 20-amp, in-line fuse located adjacent to the fuse box.
Ckt 300 is hot only in the "Run" position of the ignition switch; it is dead in the "Start" and "Accessory" positions. This was done because the rear blower is a high-current circuit, drawing 20+ amps on high blower. It is senseless for the starter and blower to compete for battery power while cranking the engine, and useless to power the rear A/C fan when the engine and A/C compressor aren't running.
Drawing on distant memory, I recollect a chronic problem with the Suburbans resulting from the long wire run between the dash mounted blower switch and the rear mounted blower. If you are stringing new wire, it might be prudent to bump the rear wire run size by two gauges (i.e., 8-gauge GXL (http://terminalsupplyco.com/Store/Product.aspx?pc=8+GXL-100-ORG) wire for the run to the rear blower).
---------------------------
I suspect that the brown/red wire to which you referred above is actually the 10-gauge orange (or purple) feed to the rear blower (color depends on year). But, you have me at a disadvantage, since I cannot see the wire or how/where it is routed through the cab.
For additional details, first you need to answer whether the rear blower housing is cut for a blower resistor? To economize, it maybe best to mount the resistor in the front evaporator housing, so that only one wire runs rearward.