Can it be done? Yes. Will you be happy with it? That's up to you. I have a GMC Canyon crew cab with an I5 and a Max tow of #5500. I was like you and didn't want to invest in a tow vehicle right now either. After tons of research and shopping we bought a Gulf Stream Vista Cruiser 19'. Dry weight was #2900. With a E2 WDH the truck does just fine. I have pulled up some pretty good grades so far and no problems. Now, would I rather have a V8? Yes. But, I'm happy to use what I have for now and it also gives me the ability to shop for a TV when I'm ready and not have to rush into it.
Hope this helps you.