Depending on what MFD you have you can install a pair of totalscan tru hull transducers(or similarly named pending you MFD) without loosing any sidescan
Lowrance structurescan-SKU: 000-11460-001
Raymarine- realvision-RV-200
Not sure if simrad has a comparable transducer pair for totalscan but you might be able to call and ask them if your running a simrad?
If none of these above options work because of compatibility, you can buy the single thru hull totalscan and glass it in (glass in a 0 degree transducer box/fairing) as close to the centerline/keel as possible and you shouldn't loose any detail on either side. I used to have a simrad go 9 with a transom mounted totalscan, on a classic mako with a single outboard. I had to place it somewhat high up due to pickups etc and barely lost any image to prop wash...lowered it a few inches and seen both side clearly. Anywhere near the centerline of your hull should produce excellent results.
Also slightly off topic- I currently have a 2001 282 and was curious what the dimensions of your transducer pad/flat is? I have a B744 on mine without a fairing block, previous owner, and assumed the previous owner installed it that way because of size restrictions? I'm not complaining that he had done it this way because I'm getting amazing results but I'm in the process of replacing with a possible b265 and wasn't sure if it would fit.... without the fairing of course. I'm not pulling boat for winter for another month and was hoping u could shoot me your dimensions?