Trap and skeet is cheaper, because the targets are much cheaper. We charge $7 for 25 targets so $28/100. Sporting clays runs about $67/100 for the first 1000 targets that come with your membership, and $50/100, for additional targets. So trap and skeet here is about half the price of sporting clays.Many years ago, I shot trap - quite a bit more than I could afford in a sparse part of my life. I found it excellent stress management - certainly cheaper (and more effective), than therapy. I've only shot skeet maybe a couple dozen times. Didn't really float my boat. For the last decade or so, I've been focused on Sporting Clays.
In large part, it may depend on what is offered in your area. Trap and skeet, may be cheaper because you can shoot a round of 25 and head to the clubhouse if you choose to. Sporting clays is typically around 100 targets for a round. Although sporting clays is very expensive, I have found it to be very social, with varied challenges and opportunities.
Presuming all are available to you, if you start with trap or skeet, I suspect you'll end up with sporting clays. If you start with sporting clays, when you try trap and skeet, you may be asleep by station 3.(Just kidding - sort of).
My vote (as may have guessed) would be for sporting clays.
^perfect explanation, especially re: trap. Wouldn't attempt to guess how many rounds I've shot, yet never a 25/25. Plenty of times in the 20-22, best 23 maybe 5 times?Trap is pretty easy to learn but hard to master. Usually not much talking going on during the relay. Shoot 5 shots in turn and move one station to the right. Some serious shooters that will look down their noses at you if you are not shooting a trap gun. Heaven forbid if you don't have a shell catcher on your semi.
Skeet is more social, a squad of 5 shooters moving around as a group 2-4 shots at each station. After a couple rounds the routine is easy to catch onto. Usually some friendly banter going on. Shoot what you have, O/U, semi, pump, SxS.
Sporting Clays is like playing golf with a shotgun. Can be serious or more laid back depending on the squad you shoot with.
Skeet is my favorite, followed by Sporting Clays.