If you are a member of a club, shooting at the clubs venue/s will be covered. this will usually extend to comps such as HFT & FT.
You want your own personal insurance IMHO.
BASC is marmite. People either hate BASC or like them. They are the most expensive.
SACS is pretty good too. been a member with them before.
Others like NGO etc also good.
There are plenty of threads on the BBS re this topic and plenty more names will come to light on a search.
Your principle issue will be the Public Liability typically at 10 million..... some do less but if you turn a person into a cabbage, 10 Million is not inconceivable to be a court settlement albeit unlikely.
You want the biggest cover for the least premium it seems to me.
In a battle of wits I refuse to engage with an unarmed person.
To one shot one kill, you need to seek the S. Kill only comes from Skill