I can't see it not being able to take the same loads as for the modern lever rifles which are higher pressure than the trap door loads (which would be same as for antique lever rifles?). I don't know how strong the action is compared to a Ruger No.1/3 though as that is an exceptionally strong action.
The Lyman Cast Bullet Handbook lists the following:
18,000 CUP for trap door (9383psi based on Denton Bramwell's equation)
28,000 CUP for modern lever rifles (24,542psi)
40,000 CUP for Ruger No.1/3 (42,732psi)
The Hodgdon online database lists this though:
28,000 CUP for trap door rifles
40,000 CUP for modern lever rifles
50,000 CUP for Ruger No.1/3, Browning 1885, and Siamese bolt action (57,891psi)
I have an H&R Handi-Rifle which is a single shot break action so more similar to your Baikal than a lever or Ruger I suppose. It can handle the 28,000 CUP loads from the Lyman book but when I tried some of the 40,000 CUP loads at starting values it was unlatching itself when firing. The 40,000 CUP loads from Hodgdon though are no issue in my H&R and don't unlatch the action. I haven't tried any 50,000 CUP loads from Hodgdon. I'm not sure why the two sources give different CUP values for the same types of firearms. Is Lyman more cautious? Did they use different data collection methods? I don't know.
Personally I would have no issue putting any modern lever-safe loads into a break action rifle but you may want to be cautious around the ones designed for dropping block rifles. I remember reading that dropping block rifles like the Ruger No.1, No.3, Browning 1885, etc. are a stronger design than break action but I don't know by how much.
A 300gr bullet travelling 2400fps (one of Hodgdon's 40,000 CUP lever loads) can take anything in North America including the big bears (with the right bullet choice). I launch 500gr hard cast bullets at 1400fps and they can pass clear through 12"+ poplar trees. If you want to make an elephant gun you're probably better off buying a 458 Winchester or something along those lines. Just my opinion.
*Edit*
Compare some loads.....
For a 405gr bullet with IMR-4198 at "28,000 CUP":
Lyman 36.5-40.5
Hodgdon 30.0-32.0
For a 350gr bullet with IMR-4198 at "40,000 CUP":
Lyman 44.0-49.0
Hodgdon 47.0-50.0
Hmmm... lets try to find similar loads regardless of listed pressure:
Lyman 405gr, IMR-4198, "18,000 CUP"
31.5-35.0
Hodgdon the same but listed as "28,000 CUP"
30.0-32.0
So Hodgdon's "28,000 CUP" load uses less of the same powder for an equal weight bullet as a Lyman "18,000 CUP". So either Lyman's pressures are low or Hodgdon's pressures are high, or both. So I guess both sources "lever gun loads" are of similar pressure?