That is where I was, on the advice from a bunch of posters, and I still say you are better off paying for preferred. It may not be that long of a walk, but it is long enough that if you are tired the food court will seem miles away.
Remember too that while you can request to be near the bridge, there is no guarantee that is where you will end up.
Of course you should do whatever suits you. For me, as long as I'm not in Trini South, it's not that big a deal.
I measured the walking distance using Google Earth and taking into account the jag the island path takes, and how you have to pass around the pool gates to get to the rear entrance.
It is just over ~850 feet from the start of the incline of the bridge.
So, that means...
Aruba 51 - Adds about ~130 feet to that, so ~980 feet
Aruba 52 - Adds about ~350 feet to that, so ~1200 feet
Aruba 53 - Adds about ~400 feet to that (I've stayed in that building with a garden view), so ~1250 feet
You don't want Aruba 54 / 55 / 56 if you can avoid it.
Jamaica 45 - Adds about ~75 feet to that (in my opinion the best spot on property), so ~925 feet
Jamaica 44 and 46 - Adds about ~250 feet to that, so ~1100 feet
Jamaica 43 - Adds about ~400 feet to that depending on where you are in the building (I only mention it because I've stayed there as well), so ~1250 feet
You don't want Jamaica 42 / 41 if you can avoid it.
Preferred, correct me if I'm wrong, are Martinique 24 / 25 / 26 and all of Trinidad North.
Trinidad 31
If you cut through the parking lot to the front doors - ~600 feet
If you cut along the water, then cut over to the parking lot to the front doors - ~750 feet
If you cut along the water and by the pool - ~1005 feet
Trinidad 32
If you cut through the parking lot to the front doors - ~850 feet
If you cut along the water, then cut over to the parking lot to the front doors - ~920 feet
If you cut along the water and by the pool - ~1175 feet
Trinidad 33
If you cut through the parking lot to the front doors - ~980 feet
If you cut along the water, then cut over to the parking lot to the front doors - ~920 feet
If you cut along the water and by the pool - ~1600 feet
Martinique 24
If you cut through the parking lot to the front doors - ~780 feet
If you cut through the resort to the front doors - ~790 feet
If you cut along the water and use the entry near the lighthouse - ~647 feet
Martinique 25
If you cut along the water and use the entry near the lighthouse - ~360 feet (that's really the best way to go)
Martinique 26
If you cut through the parking lot to the front doors - ~389 feet
If you cut along the water and use the entry near the lighthouse - ~340 feet
But, while it appears Martinique is the closest, a lot of that is due to it having the best access to the small rear entrance at Port Royal. That puts you right into the thick of the Food Court, near the Shutters seating area.
Distance to pool is another 350 feet, and distance to the Gift Shop is another 250 feet.
Anyhow, I think this exercise shows that the Trinidad rooms aren't that great a deal compared to Aruba/Jamaica, but the Martinique ones are a steal. So, if you do Preferred, I'd certainly ask for one of those buildings (specifically Martinique 25, imho).
To me, it's not worth the upcharge per night, as that's money I'd rather spend on other things, like souvenirs or a cocktail, and I honestly enjoy the stroll through the island and feel more "isolated" from the hustle and bustle from the rest of the resort that seems to occur more around Old Port Royale. For example, the walkways are far busier, because people from Barbados / Martinique, Trini North and South all use them (if they don't use the resort bus)...whereas, almost no one but Jamaica and Aruba Guests ever make use of the paths over by there...
So, anyhow...wherever you stay (EXCEPT TRINI SOUTH...WHICH IS WHERE THE PIRATE ROOMS ARE...DON'T GET A PIRATE ROOM) it's a great resort, and you really can't go wrong...