At the risk of sounding repetitive try searching on the schools that advertise. Generally you will find that the cheapest ones in Pilot and Flyer have a few "tricks up their sleeves". For example they will pair you off with another wannabe so you only get to log half the time under JARland rules. Or have you flying at 2am in the morning as the hour builders only get the aircraft at nights due to training requirements during the day. So any ideas of nice jaunts here and there are quickly out of the frame and you might also find that you get your time in 2 hour slots rather than a full day/night which severely restricts your ability to go anywhere adventurous or interesting.
There are loads of good schools that get a regular mention on these threads. A lot are US based. Most have twins and with the current FX rate you will find it a bargain when compared to the UK. No doubt someone with experience of SA, Canada or elsewhere will jump in with some advice. The US seems to be the most well trodden path though in my opinion.
PS: Don't have a multi rating myself yet but the above is just experiences I have gleaned from a couple of SE hour building trips to Florida and California.