As the pictures below show, suspending the heater rod between the two inside sides of an upright player piano isn't especially complex. Naturally, some care will have to be taken in sizing the lengths of picture wire. I would make each length of wire long enough to attach to itself. Like a complete loop, as opposed to a single strand. I've included a mini-sample of how I would twist the Picture Wire, connect the Spot Tie and create the 'loop' at the end where the wire gets attached to the eyehook.




Naturally, the positioning of the two eyehooks (to which the Picture Wire will be connected) is pretty important. They should be positioned about 1" down from the top edge of the side.
If need be, loop the picture wire around the Spot Tie at the point where the Electric Cord changes direction to hold the Spot Tie firmly in place.
Also, my suggestion to make each piece of Picture Wire into complete loops is done in the interest of making the entire array easy to remove from the piano when it's time to tune.