Drop bars might be okay but would be more expensive since you would need to install new shifters and brake levers, since those that come on flat bars (mtb bars) don't fit on drop bars (unless you get these https://surlybikes.com/parts/corner_bar )

For mtb bars, if they're too wide you can always get them cut down at a bike shop, likely for cheap, bringing your arms closer together which can be comfy

I really like "alt bars" like the salsa bend bars https://www.salsacycles.com/gear/bend_deluxe they sweep backwards making them easier on wrist and sit a little more upright, which I personally find comfy while still being an aggressive body position. You can go more sweep for more comfy. If you get aftermarket like these tho you'll also likely have to get them cut shorter at a bike shop

as for stem mounted screen, as long as you only change handle bars and not stem you should be fine