The difference between a Shabbat candle and an Havdalah candle is that the latter is supposed to be an avukah, a torch, which is defined as having two wicks rather than one. For that reason, I don't think there are electric Havdalah candles (I haven't seen them). In any case, I will note that within Orthodox circles, there is some debate as to whether electric lights fulfill all the purposes of lighting Shabbat candles (so that some people will rely on them, some will not, and some will insist on lighting both wax candles and electric lights when they are lighting Shabbat candles). For Havdalah, though, the torch aspect makes it more complicated.
That being said, I am not sure I understand the regulating. For Shabbat candles, which are left lit for several hours, I know what a rule against open flames means. But an Havdallah candle is used for perhaps two minutes (and, in a pinch, you could light it when you get up to that blessing in Havdalah, make the blessing over the light, and then extinguish it). How will that be different than striking a match to light a cigarette, for example? I find it hard to imagine that there's a rule against open flames even for 30 seconds, even while someone's there watching it.
Assuming there is such a rule, and that there are no electric Havdalah candles, you can also make Havdalah outside the building, for example (there's no rule that Havdalah has to be said in your home). Or, you can make Havdalah at home and then go outside just for the blessing of "borei me-orei ha-esh, who created the light of fire." While we group together the four blessings of Havdalah, the blessings on spices and on fire are, in fact, independent ones which you can, if you have to, recite separately. Good luck with the apartment!
Answered by: Rabbi Gidon Rothstein