Problems with the Initiative Phase

Well, while prepping a new playtest scenario I have found a problem with the initiative phase:

At the moment, characters are activated starting with those with the lowest Initiative, thus starting with characters with Initiative 1. The problem is anyone can steal the turn to an Initiative 1 character, and if you want to go before another character that wants too, you just roll off. Meaning in the end that all the system is just a succession of roll offs with no real input from the Initiative characteristic.

I am pondering several solutions:

1st: To activate you choose the value of Initiative you want to add to the d10 roll. Then, if you win the roll, you would have to activate a character of that Initiative value.

2nd: Before rolling the dice each player chooses a character to activate. The player that activated last choses miniature first. Then both players roll adding the Initiative of their chosen character to the die.

3ed: The miniature with the highest Initiative goes first. There is a roll off if someone wants to activate a character of the same Initiative too.