Raises an interesting point regarding a staking strategy. Given the bookmakers are going to cut you off, it potentially could be better to just go as hard as you can & live with the risk.

Alternatively, an interesting tweak would be to see what the best historical edge has been, and wait for the best opportunities to surface & only bet on those. Effectively you limit yourself by saying "I can only place N bets per bookmaker, what should my strategy be?"