6 tables (including 1 in the back for training)
6-20 people at any given time.
1 area for sitting, right behind the barriers.
I know some of the members somewhat.
There are about 5 members at my level.
okay,
Some times, places are so full, it is impossible to even squeeze in. So it sounds like space/spot isn't a problem for you.
It doesn't feel like more than 4 per table. 3 is actually a good number if it was to play matches.
Maybe speak to the members you know, or comfortable to speak to and ask if you can play for them.
If the level difference is quite large, then maybe speak to the 5 at your level to see if you can have a knock with them.
So I'm assuming, there is at least 2 tables you can hang around with.
What I suggest you to do is to try and play with all 5 players your level, and from there, hopefully you can have a chance to play between 2 to 4 tables
Some times, some people just want to play matches, some wants to play doubles, some wants to train.
So you just need to find TT pals that fits your preference.
Owner can help, but if you not uncomfortable to speak out, you could start speaking to the ones you comfortable to play with first.
Other than speaking to the owner, if coaches are at the same club, maybe their could advise who you can knock with and help start that conversation with those players.
You just need that "intro" to get going, and next time, you just walk in there and find your TT pals and you kindof slot in automatically