I didn't mean to imply that you weren't concerned about the taste of your coffee at all, sorry if that's how it came across! I tried to stay away from the elitist tendencies that creep in when talking about coffee gear because I find it counterproductive and off-putting, and what's more important than anything is that we all enjoy the cups that we brew.
If you're brewing with an Aeropress, I can see why the value proposition of more expensive grinders seems a bit suspect. It's a very forgiving brewer (and the perfect size for travel), which is one of its greatest strengths. Immersion brewers are tolerant of a significantly wider range of grind sizes and tend towards producing rounder flavors and more even extractions. This is an obvious oversimplification of the Aeropress, since there's some absolutely wild World Aeropress Championship recipes (especially from a couple years ago), but I think there isn't a need to dial in much on the Aeropress because it's so forgiving. I feel like I'd have to actively try to get a bad result out of an Aeropress, which is a huge testament to how great it is.
My personal preference when it comes to filter coffee at home is either a V60 or an Orea V4. Generalizing again, but the grinder becomes a lot more important in pour overs because it reduces variables when it comes to your extraction. A more uniform grind allows water to trickle through the bed at similar rates. Too many boulders and fines in the bed can lead to a cup tasting simultaneously bitter and acidic, which doesn't really happen in my experience with the Aeropress. However, the cups that I get when I have the beans dialed in offer more clarity and flavor separation than I get from an Aeropress, which isn't necessarily better, just different.
I'd tend to agree with you on electric grinders, by and large. It feels like you're either better suited buying a hand grinder for the same price as your budget, or you'd need to spend substantially more for an electric grinder that can match a $200 hand grinder. If you're interested in an electric grinder, a little bit handy, and have the counter space, you might want to keep an eye out for used commercial grinders. I've seen quite a few Mazzer Super Jollys and their rebranded cousins in my area, so you might be able to eventually pick up one in yours for a steal.
Assuming that you're looking for filter coffee, the Specialty Coffee Association and European Coffee Brewing Center both have certification programs for home coffee makers. None of these machines should be a barrier to getting a great cup of coffee, so you can comfortably focus on picking a machine based on price/aesthetic/convenience features from either of these lists. Even if you don't want anything from these lists, looking at their guidelines will be helpful in knowing what to look for when selecting a machine. Naturally, the lists are nonexhaustive and only feature machines that have paid for the certification testing.
If you're interested in manual brewers, some of the more accessible brewers would be the Clever Dripper, Ceado Hoop, Aeropress, or the Hario Switch. None of these brewers gets much benefit from using a gooseneck kettle, so you won't need to jump too far down the rabbit hole.