40th St./Lowery is easily accessed by mass transit. See my caveat after the directions:
Air Train to Jamaica Station; switch for subway on other side of Long Island Railroad station: take the E train TOWARD MANHATTAN. E travels express in Queens; it's maybe a half-doze stops to ROOSEVELT AVE/74TH ST. where you will transfer UPSTAIRS to the #7 TRAIN bound for MANHATTAN. A few quick stops to 40TH ST/LOWERY.
CAVEAT: there have been rail work service changes of late. If they are happening while you travel you will have to take the #7 to QUEENSBORO PLAZA where the train will terminate (having run only express stations through Queens, bypassing 40th St./Lowery) and then returning through Queens as a local. You will need to take the 7 Local BACK to 40th St.
40th St./Lowery is easily