I would say 8-10pm UK Time so thats 3-8pm Myleague time.
The problem is some leagues such as rackum and (I think) vampire hold their tournaments mostly late night UK time and thats when most of their members come online.
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Snipes point
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3) Make a tournament either 3v3 or 5v5 and let as many teams as possible join. Your basicly going to shut down Myleague for an hour or 2 and only letting 3 players from each league join would be kinda be unfair. Its not just about best 3 players its also about depth.
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Yes these tournaments are normally good because they have so many people in. It just wouldn't be fun having only a few from each league.