Picoman if you are intrested in a particular european sportsbooks you must think different.
I will try to explain you, in my not good english:
as you says with european sportbook you canīt put all your eggs in one basket, but you need several for suplir the lacks one from others.
For an european bettor is more simply because it includes the universe of american events in an alone Sportbook
You donīt need 5dimes, The Greek, Bodog, etc...if you have an account in Pinnacle.
For years I bet in all of them and never had a payout problem (with those of the list ).
William Hill for example is one of the 3 biggest in UK (great to say) an the case to wich you refer must have been very punctually.
They are in deficit cause low odds
Now ( and for the limits problem ) I can play only in Stan James ( southamerican soccer and tennis ) Expeckt ( european soccer and basket ) Ladbrokes ( tennis ) William Hill ( english soccer ).
Sometimes to complete a stake I use Gamebookers, 10Bet, Victor Chandler, Unibet, Eurobet, etc.
At the beginning while they do not limit your acount to ridiculous numbers, you can waste your time in friendly websites like:
Bwin, Bet365, Interwetten