Based on our experience with a 2010 3326K I think towing with a 5000# limit tow vehicle is very marginal. Our 3326 is always a little under 5000# GTW whenever we weigh it, no matter what we do to reduce the content in the TM. Sometimes we will travel with the water tank empty just to save 170#. Your weight will depend on what accessory equipment your 3326 has. Much of the weight we take with us is put into the tow vehicle. This makes the 3326 lighter but increases the load on the tow vehicle axles. You need to consider the limits of both the TM and the TV.
The attached spread sheet is a study I did a few years ago showing actual TM weight experienced by several forum members. It also shows the weight of the accessories available in 2010/2011.
For what it is worth,
Jerry
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Essie, Jerry and Lil' Bit the Mini Schnauzer-(now replaced by TWO Mini Schnauzers, Sassy and Schotzi)
2010 TM 3326 loaded for 3 day trip, 4955# GTW, 26 gal. water, 9.5 gal. LP, 530# Tongue Wt., 15" Dual Axle, TST Tire monitor, Hensley Cub Hitch
2004 Suburban 1500, 11,100# CGVW
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