Due to the low pressures developed and 'better' pressure/load combination with 2F, that's what I would use. I would not use 3F in the .62, personally.
: That said, I would follow Lyman's .58 cal. load descriptions for an indication of expected pressure and would load in accordance with that AND with attention to the accuracy received. For elk, I would load as high a powder charge as accuracy would allow, to approximately 140gr. or 150gr. 2F. this load will still be less than 7,500LUP. It sounds like a lot, but really isn't, and probably developes the same pressure as 85/90gr.3F, but would be giving higher velocity, hopefully.
: In the .58, which developes MORE pressure than the .62, due to a higher expansion ratio, with 140gr. 2F GO, developed less then 7,000 for it's slightly over 1,400fps. This load would be a good one for Elk at the ranges you've specified. These ballistics are for the 32" bl. used in Lyman's test.
: Indeed, in the .58, they went as high at 190gr. 2F for a max presure of 8,180LUP.(lead units of pressure in the crusher system)
: AGAIN- the 20bore developes even LESS pressure with the same load.
: Don't be afraid to experiment. Accuracy will be the final judge of your max load. You will stop going up due to excessive recoil or loss of acccuracy, long before you develope too much pressure for your gun.
: USE 2F as it will probably give better accuracy with an Elk-type load than 3F will. Plan on a minimum of 1,300fps if you can get it. 1,400fps(better) with a 310gr. ball, should give roughly 1,400ft.lbs.energy, whatever that means. What 1,300fps to 1,400fps means, is it has enough smack for an Elk.
: You may have to try different patch combos to get accuracy with heavy load, so as I said, don't be afraid to experiment.
: With Swiss powder, you should be able to drop these loads by 20gr. for the same velocity at GOEX, according to what Ross Seyfried has found using this in his guns.