Jack plates cause "setback" which requires the engine to be mounter higher than the normal line of the hull. Depending on who's doing the talking, the AV plate needs to be inline with a straight edge protruding aft from the bottom of the boat +/- about an inch with a normal transom mounted engine and conventional hull (with no molded in setback like you find on Bassboats). Somewhere in the archives is the rule of thumb that people in the business use for initial settings of engine height (AV plate) vs setback.
You are looking at 5" of height difference and with 3 or 4" of jackplate setback from the transom you probably will be close too what you need with the engine mounting position on the jackplate straight out from the 20" shaft length mounting position on the transom. This should put your AV plate 5" above the line of the hull which is probably pretty close to what you would need.
Couple of problems however: 1. With tiller steering, tight turns may be awkward; tiller in your way turning toward the side on which you are sitting (usually Starboard), and long reaches in the opposite direction. 2. Heavier engine, weight of jackplate, and distance, add up to a weight at the end of a cantilever that projects more weight on the transom than you would normally have and your 5 inches of additional height with a different boat with a 20" transom may not result in the transom "freeboard" being any higher with the boat at rest than what you currently have.
My 2c,
Mark