It depends on you. Studio headphones try to sound "linear". Like studio speakers. It will play all frequencies at very close to the same volume. Most speakers have specs that reflect this. +-3dB from 37 to 21000 Hz.
A great starting point for me is a "flat" headphone. It sounds great with music that has natural instruments. It plays back pop, hip hop, electronic music the way it was mastered.
Some headphones have huge bass, but it is not "accurate". Lets take rap / hip hop as an example. On bassy headphones with a big eq bump in the mid bass, all rap songs will have that "subwoofer in the car" bass. In reality, they actually don't.
Then there are headphones that have almost no bass but put emphasis on the treble and mids. Many auduophiles love this sound, but it is also not wgat was mixed in the studio. You may hear the floorboards creak and a water glass falling over in the other studio but you will miss the rumble of the truck that drove past the studio! THE HORROR.
The 1770 is a pretty great closed back headphone. As such it will have enough bass, and I think its a good bass too.
You can simulate the different "styles" with any headphone and your computer. Just use the EQ and set it in mire bass or more treble. Play around with it.
Listen to at least 4 sobgsvin each setting.
If you like somehing that looks like a smiley face mouth, go for the dt 990. (be aware they are open headphones. You can hear everything around you when you put them on, so you really can't use the anywhere but at home - alone. Because everyone will also hear your music.
The 880s are semi open, and quite flat. The 1770 do have more sub bass and generally a bit more bass. They cettainly aren't studio monitor speaker flat.
You can always return the headphones, no? If you want a taste of 1770 but not for the price, but the dt 770s.
Aaand you can always adjust headphones with a good eq, digital or analog. You can't fix a crappy headphone, but you can add bass and treble to a good one.
Its like with girls, you can put makeup on a ugly one, but at the end of the day ... You can put makeup on a oretty one but she will be sexy without it and in jeans and sweater.
There must be a sound studio somewhere close to you, just go there and ask if you canhelp out and learn about sound. Its a lovely hobby.