You are leaving a lot of unanswered questions in your request. I am guessing that your trailer is one of these:
Fun Finder X 2008 X-160 WB=
and, as peeps hereabouts have FGRV's, I am guessing again that it might be somewhat like a 19'
BigFoot in size,
weight and tongue
weight
You didn't mention if your new TV's hitch receiver was 8" higher or 8" lower than your old TV's, or if your Suburban has the Auto-Level feature, all of which would make a difference. I am guessing "Higher" and "Yes" to those questions.
I am also confused if you are confusing the term "Sway Bars" with the
weight distributing bars used on weight distributing hitches. They are two very different items. I suspect that you are talking about the latter.
All that said, a Suburban has a fairly high load limit even without a weight distributing hitch and, if that's not being exceeded, for a short tow (less than 25 miles?) at moderate speeds (35 MPH?), as long as you have trailer
brakes and
lights, and there is no danger of trailer rear contact on dips, you should be able to get it home.
If the dealer told you that the hitch they
sold you had the maximum drop you may have to be looking for a new hitch. The one we had installed on a Surburban to tow a Coleman 17', was adjustable and it was just a matter of moving it up or down to get the right height.