i would try both ...
usually if someones playing and singing the same time he/she has a different time feeling compared to a straight clicktrack .
but thats what makes it sound " real " .
if there are other instruments playing as well , its the best to record them live ( i know , that takes some gear ) .
if you need a clicktrack on some songs for overdubbing drums or whatever make sure you dont really blame the takes in fact of timing . to create a atmosphere a clicktrack can be your biggest enemy . it works wonders if you simply add some percussion tracks f.ex. . people who arent used to play to a click are getting confused very fast ... theyŽll end up most times with the feelings that they cant play and your studio session is OVER
most times those kinda songwriters are doing slower songs .
to add some modern elements play around with some delayed drumsounds , add a shaker , some congas . hearing that sound in the end with a nice singer and acoustic guitar player can sound just great . doing some overdubs on git , vocals maybe some keys ... and youŽll have what you need .
good luck ,
p.s. before somebody wants to show you his/her songs , be sure you record the 1st takes ... there will never be a better take
just my opinion