Generally when there's a choice between using inductors and not, most people choose to not use inductors.
Capacitors tend to be more ideal components than inductors. They don't have core loss, series resistance, saturation. This means not only do they work better, they also work better over a wider range of frequencies, and work more like their simulation models.
Notwithstanding that it's easier to DIY a reasonable value inductor than capacitor, capacitors tend to be cheaper and more readily obtainable than inductors.
Comparing RC with LC coupling is really comparing apples with oranges. A better comparison would be between RC and LR coupling, both are first order. LC coupling is second order.
Second order coupling comes with additional benefits, and potential problems. Amongst the benefits are lower loss (only important in high power or low noise applications) and a flatter passband up to a steeper transition at the edge of the band. One of the problems is that if you don't know how to design an LC filter, you could find it ringing unexpectedly at the edge of your band, upsetting level measurements.
First order coupling is very tame, it tends to do what you would expect it to do, and doesn't have this ringing problem.
When choosing a capacitor, it's important to know that modern high value ceramics have a ferocious voltage-dependant value change of maybe 70% of their specified value. Do not use them where their value needs to be known, use plastic film types in filters. If you use them in coupling/decoupling applications, use 3 times the minimum value that will be acceptable.
