Gigondas I am not an expert (not do I claim to be) however WRT growth scans:
In 1988, Miller, Brown, Khawli, Pastorek & Gabert in "Ultrasonographic identification of the macrosomic fetus" found that the typical mean error ranges from 300 to 550g (11.6 to 19.4 oz). That's out by up to a pound.
In 1992 Chauhan, Lutton, Bailey, Guerrieri & Morrison In "Intrapartum clinical, sonographic, and parous patients' estimates of newborn birth weight" found that ultrasound was the least accurate of the three methods, i.e: it was less accurate than the educated guess of the obstetrician or mother.
In their study "Pregnancy outcome following ultrasound diagnosis of macrosomia" Delpapa & Mueller-Heubach found that "In 66 of 86 women (77%) delivering within 3 days of ultrasound examination, estimated foetal weight exceeded birth weight. In only 41 of these 86 women (48%) were the estimated foetal weights within the corresponding 500-g category of birth weight"
(pulled off a website, not my own research!)
Apparently trying to predict the size of a baby before birth by ultrasound is akin to trying to guess the weight of a man sitting in a bath full of water, in the room next door by measuring his waist and thigh bone.
Anyway. What sort of thing would you like as a treat OP? I don't even know how much one of these scans would cost so can't offer any useful suggestions!