Brass is occasionally available in this caliber. I have heard that Hornady was going to do some. I just got 500 pieces of new, unfired brass from Graff's. Once a year for the last two years Graffs has had a run of 7.5 Swiss brass manufactured with their headstamp. And yes, you can form 7.5 Swiss cases from .284 Winchester brass. It requires nothing more than running it through your 7.5 Swiss sizing die. Brass in this caliber is an issue, but not much of one. Everything else is readily available. The 7.5 Swiss is handloaded using .308" bullets, so any bullet design your little heart desires is available to you. Reloading Berdan primed cases is IMO, more trouble than it is worth. First of all, it requires a special depriming tool. This costs more than a box of Norma factory ammo (I got one just for this caliber). Then you have to find Berdan primers in the right size for the case. Currently, there is no place I know of that has Berdan primers in the US. I have heard that PMC imported some and is selling them, but I have never run across anyone that has actually gotten any: Not to say they don't have them: I have seen this information posted on-line numerous times but never seen a post where someone bought any.
Getting into handloading is a fantastic idea. You will never had a problem like this again. You will be letting yourself in on a lifetime of adventure. However, getting in to handloading isn't going to save you any money on this $40 worth of factory ammo.
Seriously, think about it. You buy a box of softpointed ammo strictly for hunting. You will only fire these rounds with venison in your sights. You are a fairly competent hunter and don't take wild shots. A box of 20 rounds should get you 20 deer, most of us have the occasional hunting mishap, so it might only get us 15 or a dozen deer. I think by that time, you will have forgotten the $40.
When I purchased my K31, I purchased about 10 boxes of that Norma ammo. I got a box every pay day until they ran out of it. I still have most of it.