Look closely at your A-Frame. With the original jack out, do you think you could enlarge the hole without infringing on the three welded in nuts that hold the bolts retaining the tongue jack? I'll bet you can.
I have an older one from a popup...similar to what you describe with a smaller diameter primary tube. Light duty...rated at 1500 pounds. I replaced it with a 5000 pound rated manual jack, because the original was too flimsy for safe setup on side hills at lakes and such.
My original jack mount hole was already large enough to accommodate the heavier duty jack, but the bolt patterns on these jacks are typically identical...3 bolts in a triangular pattern at the same spacing for every jack.
The tongue A-Frame is just mild steel. You might be able to use a jig saw or reciprocal saw with a narrow (front to back), high-quality metal cutting blade
(probably several blades, because you'll break them) and a Dremel or similar tool to "hog out" the opening to accommodate a new jack. Use the saw for the cut, and then use something like a Dremel with a round stone to smooth out the rough edges. It doesn't have to be fancy, because once you install the jack, it will hide a myriad of sins.
Be sure to paint after you cut to prevent rust. A little Rustoleum goes a long way.
You'd do well to upgrade to a 3000# or 5000# jack.
Why upgrade? If you're on a significant side slope...say at a lakeside campsite, no amount of wheel chocks will prevent the tongue from lurching in the downhill direction as you lift the coupler off the ball. The heavier the tongue weight, the bigger the lurch...especially if you have a single axle trailer where you can't use X-Chocks.
A flimsy jack can make this a scary, dangerous experience. Mine would whip sideways 6 inches or more and then whip back and forth until it settled down...a wet noodle. A nice, sturdy tongue jack can take this lateral loading with relative ease.
My old skinny-minnie scared the crap out of me several times until I said, "enough" and upgraded.
If you can enlarge the hole on your A-frame, that's the best option. If not, I think I might still have my old one (I'm a packrat), and if so, I'll be happy to give you my old tongue jack, but it will cost you more to ship it than it's worth. Your call.
You can let me know if you're interested.
P.S. When unhitching on a side hill, be absolutely sure you are on the uphill side of the tongue...and that NOBODY is in harm's way downhill. If a wheel chock fails to "bite," you and everyone else needs to avoid getting run over.