There are probably 100 different ways to get from JFK to ASE14, but I’m going to share with you a very easy (and affordable) one:
JFK -> AirTrain -> Jamaica Station -> E Subway -> 7th Ave
Time: 1hr 15min
Cost: about $21 round-trip
Once you land, follow the Yellow signs towards Baggage Claim and get your checked bag. Then, head to the far right (as you enter the baggage claim area) and follow the Green signs up the escalators towards AirTrain. You’ll go up 2 sets of escalators, then a long walk.
Take the AirTrain to Jamaica Station (NOT Howard Beach). It costs $5 to get out, so you’ll need a MetroCard + AirTrain ticket to do so. The machines take credit cards, and when you buy $20 (plus $1 for a new card), you get a $2 bonus. This will be enough to get back to JFK when your trip is over.
Once you’ve got your MetroCard, exit the AirTrain area, past Tim Hortons on your left (grab a large double-double if you feel like it), and continue towards the E line (blue). It can be confusing because the LIRR is there, too, but follow the signs for E “to World Trade Center” (the train on the right, where everyone else is going).
Now sit back & relax; you’ll be on this train for a while (for about 1/2 hour). Once you get off at 7th Ave, now the fun begins.
In theory, exit the Southwest Corner then head away from Central Park (big empty space in the sky) down 7th and you’ll be at the hotel. But hey, this is NY, right?
Instead, head up W 53rd St. to Broadway and see the Late Show w/ David Letterman at Broadway and W 53rd. Then make a left on Broadway and wheel your luggage into Times Square. When you get to W 46th you’ll be at the New York Marriott Marquis on your right.
Don’t forget to look for a Walgreens or Duane Reade so you can pick up essentials after you check in.
Of course, if you want the very easy (but pricier) version, get Uber. If you’re not yet using Uber, you can get $30 in free fare with this promo code. UberX, which is a plain car, will cost you $60 for JFK to Times Square, so you can get 50% off.