Our shuttles don't go to Suncoast. The best (and cheapest) alternative is to catch the WAX (Westcliff Airport Express) from Level 2 in Terminal 3. It should cost you $3 for a 2 hour pass and the bus basically goes to the front door of the Suncoast Hotel.
This question has been answered many times. There's a higher over the counter price and special prices booked through package dealers like expedia. American delta airlines etc
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