A couple of things here - number one, no tuner will be needed with that antenna. You're not transmitting, so it's not nearly as needed.
One other thing is a question - which version of the G5RV will you be using? The 750 doesn't have the most robust of front ends, from all reports, and a full size G5RV might well overload the radio. This is particularly a problem if you live in an area with several high power MW stations nearby. I wouldn't at all be surprised if you needed to put a trap in to block the stations from overloading you, no matter what antenna you use.
Next, ignore what services you want to hear - antennas in general, and HF in particular, don't respond to services. Instead what frequency range do you want to go down to? Military chatter can be heard virtually anywhere in the non-broadcast HF spectrum (from the US and other countries). So something broadbanded would be needed. Certainly a G5RV (even the junior version) would do pretty well, but there are many other designs you can consider.
Finally I hope you've given some thought to properly grounding your installation. You'll be putting up a nice lightning rod there, and this is something that deserves serious thought
Mike