Apartments For Rent Near Montrose Houston . Find your perfect rental today! Allen house apartments | 3433 w dallas st, houston, tx. What apartments will 1,300 rent you in Montrose, this month? from hoodline.com 1916 w gray st houston, tx 77019. Schedule a tour contact us. On the average rent for a studio apartment in montrose is $1,621, and has a range from $693 to $2,420.