The big issue for weak signal work with the FRG-7 is the very wide stock filter(s). Great for broadcast radio audio quality. Not so great for digging signals out the noise floor. It does at least have a potentially useful selectable attenuator, plus its Wadley loop circuit design still is subjectively better than even many modern superhet portables.
BTW, be careful with static discharge into the FRG-7. I recently had to replace the front-end FET in mine. It is a common issue, especially since the original FET lacked internal diodes for static protection. There are newer equivalents and compatibles, but I managed to find a new-old-stock 3N211 that was the recommended replacement back in the day. Includes integrated diodes, too.
----------------
Alpard, you might not need an active antenna at all, particularly if targeting the tropical bands. I suspect your wire antenna(s) have more than enough gain for the purpose. If the noise floor appreciably increases when hooking up the antenna to the receiver for the desired band, then you likely have enough viable SNR to start hunting and listening.
Curious, do you have a balun, choke, etc. on the passive longwire antenna? If not, I suggest winding or buying one. A basic 9:1 balun for a random length longwire can be purchased for like under $15 on eBay. There might be better ratios for your particular antenna, but 9:1 is a good generic place to start for receiving longwires. It should help limit common mode noise if nothing else.
----------------
I live in Florida next to the tropics, complete with routine thunderstorms, static crashing, etc. The below link is a quick video of the 80m amateur radio band taken earlier tonight using a Airspy HF+ Discovery and a mere 9' vertical ground mounted over just four 9' radials. No preamp, yet note even it has more than enough gain for the purpose. My larger 31' vertical should increase the detected signal strengths, but SNR likely would be similar since it would increase the noise floor as well, so it largely is a wash.
https://www.youtube.com/watch?v=ZG0WvQuNiVc