If the wind is strong offshore and you're in a tiny 2.7m SIB with a 3.5hp then I'd would not go far from land regardless! Your oars would probably give more effective thrust than an egg whisk of an electric on the back.
You'd need a heavy battery as well - all in a heck of a lot of faff and gear in a 9ft boat. Trust to instincts, judgement of weather and good maintenance - most Ribbers with boats twice the size don't bother with an aux.
I'd stick with oars, a VHF, a mobile and a usable anchor.