You should upgrade your tow vehicle to match what you need to tow. Otherwise overloaded you are only hoping to "get away with it" both by Law and life. Aka not killing yourself or innocent bystanders.
I will point out that the Diesel engine is cutting 1000 Lbs off the tow rating. Even then you are going over by 500 LBS of what the half ton is rated to tow regardless of engine. (The diesel engine weighs more and weight contributes to reduced tow rating.) You need the rating of the K2500 to do the job and have room to tow the "extra" towing cargo they throw at you for whatever reason.
http://www.campinglife.com/towrating/index.cfm
1995 Chevrolet/GMC Suburban C1500 (2WD) 6.5 V-8 TurboDiesel 5500
Requires 3.42:1 axle ratio.
Requires Z82 Trailering Special Package.
Requires transmission-oil cooler.
Requires weight-distributing hitch.
A higher tow rating is listed for pickups that tow fifth-wheel trailers.
Recall you need to check everything including the rating on the hitch ball itself to make sure it can handle what you need to tow. 5000 Lbs is a common rating on the balls, but you can get then up to 12,000 LBS.
Overloaded you start to break things like rear springs, studs that hold the wheels on, burn up the sh1tty 1/2 ton brakes...