Shamans are famously a very comfortable aggressive shoe. But also talked longer than most to break in.
Evolvs tend to be similar to street size. When they first go on they should be very difficult to get on and really restrict your foot. After a few mins, the tightness and pain should be really uncomfortable and you will want to take them off. However, after sitting with them on in a bucket of warm water and walking around the house a bit, or after a few sessions at the boulder gym leaving them on for longer periods, they will fit like a glove. When breaking in, a shoe should always expand to your foot, until they're like a second skin. You should never get friction or slip issues ever.
Blisters: This is unusual. Evolvs tend to be nicer for wider feet. As I said, your shoe should be so snug there is no friction at all so you shouldn't ever get blisters. It sounds like your shoe size is actually too big, or your foot doesn't fill-out the inside of Evolvs well, like wide toes but narrow heel. Shamans are prone to heel-slip when they get to the end of their life, but you're looking at at least one re-sole before that happens.
You should be adjusting the straps to prevent this. Mine were very latched down on top, fairly loose on middle, moderate on toe, and this is what I have with most straps and lacing. It will probably be different for you. Each strap does different jobs and work in combination.
Sore toe: When you say "top of big toes" do you mean toenail area or knuckle?
If it's toenail, this is pretty normal and you'll need to clip them down. In aggressive shoes, you're curling up the toes in the toe box in such a shape that it promotes using the tips of your toes which leads to the toenail taking a fair bit of pressure. It's not the shoe, it's just what happens on toe-tips. Be thankful you don't do ballet.
If it's the knuckle, your toes aren't filling out the toe box well. In aggressive shoes, the knuckle presses hard against the toe box and needs every other part of the toes to be snuggly pressing the walls too to even out the pressure and not cause a hotspot. Both too much room and too little room cause this. Too much and the knuckle does all the work. Too little and the knuckle has no where to go and you get the infamous "La Sportiva bump" start growing. This can be fixed by taping hotspot areas, forcing the box to stretch out more over time until you no longer need the tape.
Scarpa: If you have wide feet, you probably won't fit a Scarpa. I have wide feet and cannot. I use mostly La Sportiva, Red Chili, and Evolv.
Vegan: Everyone has their views. Personally, I'm more a nature nut and synthetic shoes are obviously terrible for the environment. Most leather shoes, like La Sportiva, use leather from things like animals that have already been culled for environmental reasons. So as an environmentalist, I tend to avoid vegan shoes. This may be worth keeping in mind if you were under the impression that they're all commercially farmed leather.
Edit: Also keep in mind synthetic shoes take much longer to break in. You can speed this up with more heat, such as the wearing them in a tub of hot water trick. Fill up a tub, put on the shoes, put on an episode or two of Rick & Morty, and try not to think about the pain.
Recommendations: Well for starters, you need to try shoes on. Your foot decides the shoe, not you. Do it the other way around and you'll never habe happy climbing feet.
I'm 11 US and currently mostly use...
La Sportiva Skwama 42/9 (Aggressive bouldering/cave)
La Sportiva Testarossa 42.5/9.5 (Aggressive lead/cave
La Sportiva Katana 42/9 (Casual lead and multis)
Red Chili Voltage 44/10.5 (90% of bouldering)
I have old Evolvs and Red Chilis for easy gym days or training. Unfortunately I can't remember what my Shamans were.
After my second pair of shoes, I never made the mistake of not trying things on first. I also stick to my main three brands as they seem to be best for my feet. Your feet decide your brand.
Edit: I've also been advised Tanaya should be really good for me, but haven't tried any as they're a bit hard to source here to try on.