Coil is causing all kinds of issues by design atm.

You have 3 possible options to do for coil.

1) Pugs want specific things only due to certain jobs being able to perform better at known strategies. So if you are not that job you are less desirable to shout groups.
2) Static based Guilds (Those that run with permanent set groups). IF you join one and are not in the group you will be sitting out alot.
3) Guilds that are not running static groups (those that are more rotating people to get everyone involved). If you are not on a key job you will still have times you cannot get into the groups due to not having a perfect division of 8.

The lowman with lockout scenario makes every possible situation bad honestly. Content is just poorly designed. It is 90% the devs fault these issue happen about 10% of the community in my opinion.

My suggestion to the OP is simple. If you are going the pug route. Simply lie about having experience, because without doing that you will not get into anything over those with experience. The community is utter garbage in XIV atm outside guilds. Just watch as many videos as possible and ask the person running the group what strat they are running.