This might be overwhelming, but it'll show you the potential in mixing your own stuff once you get the hang of it.
All of the rum flavorings I've seen are dark rum, but if you mix using VG you can thin it with a white rum and you'll get that flavor from it as well as some extra TH. If you're using alcohol then use oil-based lime flavor from PA, otherwise I'd recommend you get lime flavor from FlavourArt since it's PG-based. If you're keen on it, you can even add a speck of menthol crystals or a dash of spearmint flavor. Also you can make it sweeter with Sucralose or Ethyl Maltol.
10ml Simple Mojito 24mg
8ml Base VG and/or PG @ 30mg/ml
1.5ml Rum flavoring
.5ml Lime flavoring
10ml Classic Mojito 22.5mg
7.5ml VG @ 30mg/ml
1.8ml Your favorite White Rum
.5ml Lime oil
.2ml Sweetener solution
1 drop Spearmint flavor or .05g Menthol Crystals