Minecraft item frame not outputting redstone signal when item turned

For a 2x2 door may I recommend this video as it will guide you through making it. However, if you'd prefer a more 'complex' design may I recommend this 3x3 piston door tutorial. I hope this has helped as I didn't know exactly what you wanted.

Try to give to the first gold block a name:

/give @p gold_block 1 0 {display:{Name:"a name"}}

And then run the /clear command like this:

/clear @p gold_block 0 1 {display:{Name:"a name"}}

This command will clear only the golden block that has the name "a name".

Now give your SPECIAL BLOCK, but with another name:

/give @p gold_block 1 0 {CanPlaceOn:[grass],display:{Name:"SPECIAL BLOCK"}}

You need to put another name that the clear command block doesn't affect.