Here is the other thing I'm seeing. Your feet out a little lower to the floor than mine. My expert says there is no one arch height that is healthy for everyone. But we hear you saying that you feel a need for more arch support. I'm going to assume you know what you feel or what you need, and that your feet are too flat inside the boot. Most people who need arch support need it around mid-foot, on the inside side of the foot, but you presumably know what you feel you need.
You start out with relatively flat feet, that may be a little thin for your skates, perhaps because your feet might have been measured while you were sitting down, and had no weight on them. Then you balance on one foot, which flattens the feet out further, putting more strain on your arches, and pushing the foot out further, so the boots get a little tighter on the sides. Then you have fairly snug boots (originally), as you should, which presses down on the mid-foot, flattening them out further. Then you lace it really, really tight - flattening them further. Outch!
You would probably be happier with more arch support, and a somewhat more normal lace tightness.
I'm not medically trained - just someone who had troubles with their feet. But what I'm talking about would be noticed by any shoe or boot salesman who has been on the job more than 5 - 10 minutes, by any dancer, by almost any coach, by almost anyone who ever deals with feet. If you think about it for even a few minutes, it should be obvious to you, because you use those feet yourself.
Arch support may be the most common thing people correct for in feet. You've already taken the insoles out. Now turn them upside, and put some tape (or anything sticky, like adhesive foam) under the part of the insole where your feet need support. At a guess, you need a bunch of layers of tape. I like athletic tape (e.g., "coach tape", or even first aid tape), because it doesn't wear out very fast, and because it is designed to be safe near skin, but any tape will do. (Duct tape sticks very well, but the adhesive wears partly off in a few weeks, so it needs to be redone.) Remember that turning an insole over reverses left and right (so if the left side of your foot needs support, apply the tape along the right side of the inverted insole)! Then put the insole back in your boots. You should feel an immediate relief.
The extra stuff underneath the insole will also tighten your boots, so maybe you can still use them - though they look too broken down to provide much sideways support.
If you genuinely feel you can't do this yourself, virtually anyone who deals with feet, perhaps including your coach, can do it.
This won't completely fix the fact that the boot is too skinny up front for your toes. In your place, I would choose Jacksons or Harlicks. But if Jacksons are less comfy, it's your decision.
BTW, there are many mail-order and Internet based people who sell skates, and who would claim they could help you. I'm just not sure how to find one who knows what they are doing - i.e., who has spent the necessary 5 - 10 minutes pondering this type of problem. That's why it would be nice if someone who knows of one would step forward and mention their name.
I honestly don't know how someone who makes a living fitting skates could not have recognized this when they sold them to you. But I've talked to a lot of people who had such basic problems, after buying from nominally professional skate salesmen, so it must be possible.