Could you please drop me until the airport.

[tufguy]

Could you please drop me until the airport?

Could you please drop me until the detour?

Could you please drop me off to my house?

Please check.

 

[GoesStation]

If you and your interlocutor know where a detour starts, you could ask them to drop you off there. "You don't have to drive all the way around. Just drop me off at the detour and I'll walk the rest of the way."

 

[tufguy]

If you and your interlocutor know where a detour starts, you could ask them to drop you off there. "You don't have to drive all the way around. Just drop me off at the detour and I'll walk the rest of the way."

Could you please drop me off at "the airport" or "my house"? Can we use both "drop" or "drop off"?

 

[Rover_KE]

Yes.

 

[GoesStation]

Can we use both "drop" or "drop off"?

Write both X and Y or either X or​ Y.

 

[tufguy]

Write both X and Y or either X or​ Y.

Can we say "Please drop me to the "airport" or "my house" or "some other place"?

 

[GoesStation]

Can we say "Please drop me at [STRIKE]to[/STRIKE] the 'airport' or 'my house' or 'some other place'"?

Yes, you can, with my corrections above.

You need to alternate the style of quotation marks, as I've done above, when one quotation is nested in another. You also need a final, closing quotation mark.