I would use the Hornady 180gr-XTP. I haven't used it yet but plan to in my .35 Rem.. It has two crimp grooves, one for pistols such as .357mag in revolvers which must be short enough for cylinders to turn, another for such as T/C contender which allow seating bullet out. Price is much better than Speer rifle bullet. Also, the Remington 180 Cor-lok HP is attractively priced. Another good choice I'm told is the FN-SP 158gr Rem. pistol bullet.
BTW, I had a failure to adequately expand and lost a deer this past year with a 180 Speer FN rifle bullet. Can't say exactly why, though blood trail was profuse at first and stopped completly after deer layed down and evidently got up as I trailed closer, as last site I found blood was where blood was puddled under bush where deer had evidently layed. Deer went down hard at shot, and took third attempt to get up and run. I didn't shoot second time figuring it was all over with and would just potentially ruin meat. Shot was a frontal-angled shot and bullet probably failed to hit bone. No bone fragments or organ tissue was found. I had similar failure year previously with 200gr Hornady RN. That was on a larger deer and was a well called lung shot. Similar results. However, the Remington 200gr Cor-lokts are 100%. I load these over *40.0gr of H4895 for 2,275 fps from 20" bbl. Except for the Remington 200 Cor-lokt, the .358 Rifle bullets seem to be constructed for the .35 Whelen, and .350 Mags, and are la little "tough" for the .35 Rem on deer, but should work well on bear, hogs and bigger ungulates(elk, moose).
I believe that the 180 Hornady pistol bullet will be a lot more explosive.
FWIW, the load was NOT light. *43.0gr of Win748 over WLP primer from Win. case. Chrono's at 2,450fps from 20"bbl. Marlin 336.
* -This is max. for MY gun, no pressure signs, easy levering-no stickiness or case burnishing, ARE ABOVE BOOK LISTED MAXIMUMS so use your own discretion and work up to these loads first.
You should expect the point of impact to be somewhat different due to different barrel harmonics due to difference in bullet weight and chamber pressures between different bullet weights and reduced loadings.