If you have the manual, by all means go by that. They should have detailed instructions as to where to mount the transducer.
That said, very likely they will want you to mount the transducer at least a foot away from the out drive in order to reduce "noise" and turbulence. I see you have a hull streak just to the left of your trailer bunk. You will want to mount the transducer to the right of the streak possibly right in line with your trailer bunk providing the bunk will never stick out proud of the transom.
If by hull saver you mean the 4" X 8" or so piece of delrin plastic on which transducers get mounted to? You will want to mount that 1/4" to 1/2" higher than the bottom of the boat. Should say on packaging. They probably give you two stainless steel screws to mount with. I typically put a nice few beads of clear silicone on side that will mount to the boat, , just to make it a little more sturdy.
When you purchase your hardware to mount the actual transducer, make sure the screws will not be longer than the hull saver is thick. So if the hull save is 3/4 inch thick, don't buy one inch long screws. A 3/4" screw with a washer will be just the right length. Just in case you didn't know, screw length is measured from the bottom side of the head.
As for hardware, always, always use stainless steel. And use a lot of well placed silicone sealer for whatever holes are drilled into the transom.
I would really hate to drill a big ole hole through that fiber glass in order to get the plug through. What I've done on previous, and my current boat is purchase some adhesive backed zip tie mounts. They're usually available in clear and black and come in 1/2" square and 1" square sizes. My boat is dark green so I used the 1/2 inch square black and small 4 inch long black zip ties. Find a good cable rout up from the transducer, up and over the transom of the boat. Place the adhesive backed zip tie mounts 8" to 10" apart. It's a little more obtrusive if you will, but you won't be drilling a big hole in the back of the boat.
If you make a good cable rout into the boat, it may not be very noticeable at all.
I'd take picture of my boat but it's in the shop until tomorrow.