The jack the OP is using comes from yesteryear when people hated spending money on jacks-they were expensive and bought tiny ones and attempted to lift a big vehicle with it.
The old small ones claimed a higher lift rating. Today's jacks are realistic in the lift rating after people died and lawyers changed things.
You have that backwards. It used to be that jacks were far more conservatively rated. For example I have a 2-1/4 ton jack, that was reintroduced as a 3 ton. It is far sturdier than any 2.5 ton sold today. Now, instead of thicker plate steel, they put another bend in the metal to make it cheaper, at least at the ~$200 and lower price points.
That is insufficient. We'd need to know the total lift height. This matters quite a lot when you are near the make/break lift range of many budget priced floor jacks, yet you didn't mention the budget. It would also be good to know if you want/need to carry it, what you consider the max tolerable weight since many are pushing 100lbs or more. Safely attaining a higher lift means a longer frame and more weight, unless you pay more for aluminum.
Then there is how urgent the need. If you want to buy one at Harbor Freight for example, you may end up waiting over a month, maybe longer as there are those out there that still haven't gotten large orders shipped from HF so you'd be in a long line of customers waiting already. In other words I'd call local stores to see what they have in stock, or buy elsewhere if you need it before the middle of summer.