Smallest motor for brushless DTX Firehammer?

[jsr]

I have a DTX Firehammer MT that's hardly been used for several reasons (can't find time to take it out to a large space where the noise won't be a problem, made mixture too rich with oil so it fouled the plug, can't play with it around my son, etc.). So I've been thinking about converting it to brushless. I love the runtime of the gas motor, but there are issues that make it less convenient for me to run it.
I know bigger is better and would run cooler with additional size and torque, but I can't afford $200-$400 for just a motor. I would love to have that budget, but just don't. The DTX Firehammer MT doesn't seem too immensely heavy (feels only a bit heavier than a fully decked out 1/8 MT in ready to run form) and it's only 2WD which is less load on the motor.
I have a Neu-Castle 2200kV motor that's quite strong. Would that on 6s be enough to push the FH MT around at about 35-40mph speeds without overheating/burning up? If not, what would be the minimum size motor?
Ideally, I would like a huge motor that's rated approx. 1000kV and run 8s or even lower kV and higher voltage, but I doubt I could find a motor like that I could afford.
Thanks.