Most people would say get a DRW. And I do not necessarily disagree, especially if cost is not a concern at all and you do not mind having such a wide truck in general.
If, on the other hand, you would actually prefer to stay with a SRW, it could still be doable.
I assume the pin weight value came from the manufacturer based on dry weight. I found a dry weight number for this fiver as a little over 12,000 pounds. So this particular trailer is not real nose heavy compared to some others. If I add 3,000 for "stuff" and assume 20% ends up on the pin, then you would appear to be able to handle the weight with a reasonable amount of room to spare.
I guess another consideration might be how you intend to use the trailer. If you are heading out for an extended road trip of a lifetime, like maybe to Alaska, then the "belt and suspenders" approach most of us would take in planning a mega vacation would say get a DRW.
But, if you a looking more for destination camping, and the math works out, a SRW is still a reasonable option.
I am towing a very nose heavy 36 foot fiver, which we pack with snowbird amounts of gear, some fresh water, plus there is a second A/C unit and a washer/dryer combo. I have had no problems with towing or handling.
Also, if there is an option for any upgrade on the truck's tires, take it (money well spent).