I use headphones a ton while working.
Regarding the HD250, they are old, but if you get one in good condition you are golden. Hard to say whether the Mk 1 or 2 is better or 300ohm vs 600ohm. I can say it ticks your boxes of not having any spikes. The bass is fairly strong but balanced and the highs soft yet still present - even more so than the HD650. These headphones are very light and it's easy to get after market cables and pads.
It's a bit of coincidence that a few of us on your thread are familiar with them.
The K271 is quite a nice headphone. I had an old mk1 over a decade ago. Light on bass.
The Fostex THx00 and related series of headphone are very good if you want a bit more bass push.
K550 is a fine choice but can be hard to get a seal.
For common headphones available at department stores, Sennheiser Momentum 2 wired is quite fine, again no offensive spikes. Fairly portable too.
Could you please tell me where I can find decent replacement HD250 pads. I have bought various example from Amazon and Ebay, and have been disappointed with products which deviate considerably from the original design.
BTW, to the original poster, I would recommend either DT150 or HD250 (with new pads).