Lets see, I own a few of the above mentioned and a Savage 99 (.308).
Of the bunch, the Marlin is the beefiest and the most adaptable in terms of accessories, etc. You can get syn-stocks for a Marlin, different scope mounts/system, ghost ring sights, mag tub bands and slings, etc. They are easy to strip and easy to refinish. They are cheap in the used market. That's where I'd be looking.
The Winnie stays stock except for a finish job in KG black receiver with blue barrel - came out very nice (post 64 investment cast receiver was ugly). The reason it stays stock mechanically is because ... it's a Winchester, it's so light and slim, why would you mess around making it heavier (?), and it's top eject so scoping is a pain or at least an issue. The gun balances in one hand wrapped around the receiver, which is why mine was ugly - a lot of glove wear and sweat stains. Now with KG, it's even better to carry
The 99 is the most accurate and it carries well too. But, it is not the same as a Marlin or a Winchester. It's bulkier due to rotary magazine and since mine is scoped (Nikon) it's in a different league. More like carrying an auto-loader than a plain 30-30 lever. However, they are out there in 30-30 and they shoot very well. So a Savage 99 should be on your list. But, even used - they'll be twice your Rossi budget.
Have used a Rossi and it was fun. I would not say no to one
There was an older Mossberg lever in 30~30. You might find one around. As I understand it, they shoot well enough. I think both Mossberg and Marlin have made store brand guns for Sears, Wards, Penny's, etc. I have seen some nice Ted Williams levers out there, so don't discount them as a way in for less $$.
I'd definitely be looking used. There are a ton out there. A lot of the folks who traded them in, did so before LeverEvolution ammo was available (safe pointy bullets), so they don't know that any of these are now 200 yd rifles if you practice and upgrade the sights