http://www.hodgdon.com/data/rifle/7mmshtwe.php
It will get you in the neighborhood. I shoot 175 seirra spb's. Because I like to shoot allot. I don't know your twist rate. But the 175's take advantage of all the powder capacity. I predominantly use h-1000 or R-25 way above the mild loads on the Hodgdon web site.
I have not had an elk stop this round yet out to 300 yards.
Another good choice is the Barnes. 284" 175gr. "X" FB .310 .530 28445
or the Wildcat 180's or 200's
http://www.wildcatbullets.com/
I'm sure that they will ruin Mr. bears whole day!