sounds like plugged heater core, or incorrect routing of core hoses, or stuck closed heater core hose inline valve- if so equipped,
if so equipped then remove it, i would anyways, but then youre in AZ so maybe it wouldnt be such a HOT idea
if no luck iwth any of the above then make sure the vacuum hose for heater controls is connected to intake vacuum source, trace it from heater box under hood to engine, its a small plastic black vacuum tube line, without it you will have no operation of the control panel for the vent boxes assembly and flappers and vacuum diapragms but youll still have blower though btu would be cold only most likely, IE outside air only and not through heater core box unit inside cab
if control panel position lever seems like it has very little or no resistance then the cable may have come off at one end or may have broken, but i have never seen either happen and i have had ALOT of gm trucks 67-87, and have disassembled ALOT of them too, never seen a cable break or come off, so,,.
if i had a digicam then i could take you soem pics of heater box and cables related stuff, as i have some 73-up boxes laying upstairs that are destined for scrap after i rmeove the heater cores for their copper.