When the 220 Speer was introduced the 356 Winchester did not exist.
Having shot the mentioned charge of H4895 in a "close enough" manner in terms of weight (36.5 grains) I will note I got around 2050-2060 fps with my 20 inch 336's. While the 220 Speer may not be necessary for successful deer shooting as opposed to a 200 RN like the Core-Lokt (sadly unobtainium these days, which makes me glad I stashed away a whole bunch of them) for the 100 yard and under shooting envisioned here it will do just fine. It did for me.
The 220's availability gives decided options in terms of penetration, and if interested in optimizing its speed at acceptable pressures there is LVR powder. Nothing else comes close. However, the mentioned H4895 load is fine for not only 100 yard deer shooting but also could be the best thing possible for a much bigger than average black bear at commonly encountered ranges. Its penetration runs about 50-60% greater than the typical 200 RN factory load. Not that a 200 RN would not also do well there, but if you like penetration you will get it with the 220.
For me, the accuracy of the 220 Speer shades the 200 RN's. The longer bearing surface is my theory as to why.