Folk-extra (with the slightly sinful idea of "fecundatio ab extra" about which matrimonial lawyers will tell you)
Post-folk
Additional (as distinct from "traditional", geddit?)
Contemporary Folk
Modern folk
Authored folk
Written folk
Uncollected folk
Neo-folk (I quite like that idea, combining the thoughts of "newness" as "nearness"
Fauxk or Faux-folk (pronounced fo-folk, like faux-fur)
Hybrid folk
Mongrel folk
Half-folk
Bastard folk
Natural folk
Extended folk
Broad folk
Focoustic
Cuckoo-folk
Step-folk