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 ... they´ll 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 you´ll 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 heh
just my opinion