On reflection, rather than remove the BEC regulator, maybe it's easier just to leave it there after all. As long as you stay at 6 volts maximim, then simply connect your 6 volt battery where the 4.8 battery would normally be. And yes, you are right about pruning the red wire. But rather that simply cutting it, an alternative way would be to lift the centre plastic tab on the plug itself, then just pull the red free. It means you only need to push the wire back into the plug if you should need the BEC again.
Re, 10A meter: Bummer about that, because in order to get your meter to read higher current means you would need a shunt resistor across the input wires. In other words, a resistor connected in parallel with the red and black leads, while at the same time connected in series between your battery and ESC. And not just any old resistor. Shunt resistors are usually big, bulky, cost more than a bog-standard resistor and dependant on close tolerance ratings. In other, other words... it's not the sort of component you can just grab from the shelf. Sure you make one, but the overall accuracy wouldn't be up to much. And HEAT, they burn up lots of heat. And when they get hot is when their internal resistance starts to go down, which ultimately means you end up with readings which are nowhere near accurate.
Sorry, bud. You should have spent an extra fiver and bought one with a 20A jack on the front panel.