Hi Panthercw!
Those tables you mention (kiddies class) are also known as Viana Class or P Class in Spain and are based on the original French "billiard", also known as "Carambola".
If you want the regular competition size try in the "Casino de Madrid" but it's probably full of professional players and I don't think they are "economical".
You can also try in a Billiard club:
1. C/ Capitán Haya, 49
2. Centro Comercial Canguro C/ Real cruce con C/ Honorio Lozano
Both clubs are in Madrid.
Good luck
!