While I don't know your area, my son started in the Jr APA program before their policies drove our league operator to switch to USAPL.
http://www.poolplayers.com/membershi...unior-leagues/
I can't check if that link is valid because work blocks sports sites, but you may be able to find Jr APA locations there if they still run that program.
Also check the USAPL and BCAPL to see if they have Jr leagues, which would include running qualifiers for Nationals.
The league operators also get spots for Nationals for those kids they deem worthy that do not place in the qualifiers.