Before you try and block some of the radiator from getting air, (I wouldn't do that myself) try checking to see if the shut-off valve for the heater core is all the way opened first.
If this is a second gen truck (86-93) then it should have a valve that gets opened when you turn the temperature knob on the dash to the hot (or red) side.......it should be all the way opened when it is all the way to the hot side of that dial.
Once you have it there, or better while your turning the knob, look at the linkage for the shut-off valve which is right near the gas pedal area but right above the transmission hump. It looks like this.....the mechanism is circled in red....
This is a pic of the heater core housing removed from my truck, you can see I have disconnected the heater core tube in the left of this pic......it connects to this heater core shut-off valve, so what you want to make sure of when looking at yours is that your getting the full range of motion on your linkage to insure that this shut-off valve is opening all the way and your getting enough hot coolant through the heater core.
It's really just a little "ball" valve....
Opened!
Partially opened!
And closed!
If this is not being opened by your linkage when you turn the temp. knob, then your not getting the full extent of your heat source!
Check it out, but you DON"T have to remove things as I did here....I was doing a major cleaning on one of my trucks dash when I got most of these pics.