That sounds like classic new player form of throwing the disc front up and stalling out of the sky way early. At 130' with drivers you might surprise yourself with what you can do with a midrange disc or even putters. But first things first you just gotta get that nose up pop up and die right throw corrected before you know how far you can throw without more difficult form adjustments. I know i'm assuming but am i right in thinking that your throws go high and almost stop moving forward and crash right? If that is the case you can add a lot percentage wise by throwing lower. The tricks to that is the time and practice proven method of training for form on a field not on a course.
What you should check are is you wrist above resting position at the release? If so try to push the wrist down. It is more powerful if you can manage to time it late in the throw if muscle power is an issue. Are you leaning back when the disc leaves the fingers? That will point the upper body and the arm motion up to the sky. Correction is to push harder with the right leg and possibly even using the stomach muscles and the back muscles to moving the torso forward from the hip. Is your arm low at the reach back and higher in the release point? If it is that will raise the disc nicely. Correction is to try to maintain a constant height from the ground or if you are using a scooping arm motion snapping a little earlier when the arm ain't rising high yet.
130' ain't that much. There are women that sidearm over 300' when they take run up steps. There are women that throw putters way farther from standstill. Putters are the only class of discs that are designed to operate optimally to your distances. Every driver in the world will fade early and hard at that distance but you will gain distance when you eliminate throwing high. I'd like to know how much distance you gain after too high throws are eliminated because that will tell better which discs suit you.
There are different Aviars and one of them are thin enough for assured easy clean releases. I would suggest either a Latitude 64 Spike in Grip line plastic or Innova DX XD. At your power lighter discs will definitely fly farther but if winds are an issue both of those discs need a beefier helper. Often times people counter the wind by stepping up to the next longer class of discs. And that would be Discraft Z Buzzz at your current distance but it should be fine even after the high throws are eliminated. The Buzzz is certainly more forgiving of throwing form errors than the putters Spike and XD. Those putters are faster and longer than most putters.
Do you take steps in the throw? Adding those to stand still throws will make controlling the body and aiming more difficult but it also generates more power. Once the added complexity induced steps back are turned into two steps forward. Forgive the pun

Out of his discs the Cheetah is the closest match to your power and should be ok in time in flight. A used Cheetah is close enough to a Leopard which is one of the classics even though not the most acclaimed one. I would not buy a driver at this point and would stick to using the drivers you have already thrown but real form improvements come the fastest when you drive with putters and as you gain power also with mids. Sure you should test the deep end at times with drivers to make adopting them easier when you gain power (often a lot through form changes alone). But the emphasis should be with putters at this point in your learning curve. Learning to drive with putters will teach you the fastest and make the learning curve easier for drivers in every sense but one and that is the sensitivity of drivers to throwing with the front of the disc up. Putters tolerate it drivers don't.
Flat shots need running on the center line of the tee and planting each step on the center line. Anhyzer needs running from rear right to front left with the plant step hitting the ground to the left of the line you're running on. Hyzer is the mirror of that.