No budget limitations... I take it then that the problem to get the parts needed is all on the shipping issue.
A car can be used for parts, although it also depends on what car it is we're talking about, because the size of the motor is important. Also there is an issue with brushed motors being that they tend to be pretty heavy considering the power output they have.
I think the first thing you should try to look into is about getting a radio sorted out first, because no matter what you build you are going to need that. If, for example, you have problems getting motors but can get hold of a radio, say a four channel for example, then you can always start off making a glider which would have no need for motor, and ESC or even a LiPo battery, and then work on from there. Where have you been looking in order to get a radio? Have you been limiting yourself to Hobbyking or have you been looking elsewhere like for example Banggood?