How do you establish a starting charge safely? Please consider that you are using a case, bullet and twist that doesn't align well with current cases. There is no trustworthy load data.
Why not just get starting load data from posting the question on Sherman FB page or get a good idea from the data on this forum. The 300 Sherman has been around for yrs, so there should be a good amount of data for the asking. While the CEBs are not super popular like berger or eld accubond etc they tend to be easy engraving so higher psi should not be an issue..
Here is how I went about searching for the data putting myself in your position and not posting on the FB page but just from available data on the net.
I first checked user supplied Shermam load data file on the Sherman site. That was a bust. Then I did a search on here for "300 Sherman". On the first page #6 of results was
300 Sherman Load Data as well as #10 "
300 Sherman vs '06"
I got the starting load data from the first which its title was quite telling.
The case capacity (which I needed but you could get from your case) from the second on post #44-#47. Skimming the thread a comment in that thread had someone mention their 300ss had about 4-6 gr less capacity. That made me look at the full size SAUM case for capacity which was 76 +/- manf. If I had not seen it I would have gone to one of the sites like chuck hawks and scanned all the list for one close to that capacity in the 30 cal. I ended up doing that anyways to confirm 2nd source.
I then went to hodgdon site (Vihtavuor does not list 300saum) and compared Rich's recommended 300 Sherman 186gr starting data from that first link with the recommended for 300 SAUM 180-190gr bullets of one of the powders (I chose h100v as its close and similar energy to N550 (a bit faster) I found the exact same recommended starting powder charge.
Based on this and if you compare n550-h100v in other cases I personally would have started around 58 gr to be safe even though H lists 59g h100v for 168 Sierra sp. You can always go up. You only have to shoot one rd.
Looking at the time I spent about 20 mins to find and check all this info.
The very first way you go about finding a starting load with no direct source of the data is to measure case capacity and find a case as close as possible then compare the data. As its a starting load you have little to be concerned with a difference in max case pressure as thats case construction. Besides most offical load data sites list pressures so you can confirm your in a safe window.
Hope this helps
ETA: there is also a rough powder rule for different weight bullets to powder charge if load data is limited to certain bullet weights. The ratio is 10:1 ratio, a change of 10 grains bullet weight : 1 grain in powder charge. For every 10 grain increase in bullet weight drop a grain of powder and vise-vera. This of course assumes the same powder is used. Obviously things like bullet bearing surface or mono vs jacket can effect this but it gets you close.