Another solution to consider -
Get your medical test, your "licence d'entrainement", your Belgian pilot log book... in Belgium, but do your entire training in USA. A full PPL can be done within 3 weeks, suggest Florida as location for you, and little schools in that state are often inexpensive. When you are done and hold the FAA PPL you go back to Belgium and take only the Belgian PPL written, and complete their pratical flight test... all the hours you flew in the USA are valid and count for the Belgian "Administration de l'Aeronautique" (just be sure you read their requirements such as minimum hours required, cross country, night flying etc.)
You can even do the ground training preparation (publications and videos for you - from the USA - to do home study in Belgium to gain time and money)...
The FAA PPL is fully valid in EUR countries, on "N" registered airplanes, and although the Belgian administration may not recognize yours to say, rent an aircraft OO-xxx in Belgium, other countries will give you a license validation document (France, Netherlands) without problem.
Bonne chance, le gars de Gosselies, n'hesitez pas a me contacter par email "B747skipper@aol.com"