Is there an option or maybe add an option to increase the fee by the player if he wants to ensure it will be fast?
There is no such option available at this moment. YoloDice is using flat 0.0002 transaction fee for every withdrawal.
Actually we pay the fee that our bitcoin node suggests us, we only
charge the user the flat fee. The node is configured to set fees to pretty standard fees and most outgoing transactions make it into the next 2 blocks.
I much more often hear people complaing that 0.0002 is too high than that the actual fee is too small. But indeed, having 2 withdrawal options looks smart:
1. Instant withdrawal (single transaction), with a fee, submitted immediately,
2. Batch withdrawal (grouping multiple withdrawals into one transaction) with a minimal fee (or maybe even free?), maybe twice a day.
I think it would make everyone much happier, what do you think?
You're maybe over-thinking it a bit.
Sure such option would be cool, no doubt about it. But that would be a unique one, the whole internet and gambling world are working without a dual withdrawing system. Users will always ask for more, it doesn't mean you have to comply everytime otherwise you'll never stop making new developments just to make people happy!
But if you think it's worth the effort, such solution would indeed make everyone happy, in fact you would be the only site I know which gives such options
Could you possibly change that? So I can get closer to that 10btc bet amount. 
