@bfluegie said:
...
I have a Nikon D7200 and lately I have just been taking the following with me when I travel:

• Sigma 17-50 2.8 EX DC OS HSM
• Tokina AT-X Pro 12-24mm F4 (IF) DXad
• Nikon AF-S VR Zoom-Nikkor 70-300mm f/4.5-5.6 G IF-ED
  ...
  So, finally getting to the point, can anyone recommend a decent lens for travel that works well with the D7200? I considered the kit lens I got with the D90, but I have read that with the higher resolution D7200 it isn’t as sharp. Maybe I will try it out and see what it can do. I really find the Sigma 17-50 and Tokina 12-24 to be really sharp with the D7200 and I hate to give that up, but I also need to travel with less.

Your basic travel kit is similar to my own, but if forced to reduce for size and weight the first consideration is the AF-S DX NIKKOR 55-200mm f/4-5.6G ED VR II instead of your current AF-S VR Zoom-Nikkor 70-300mm f/4.5-5.6 G IF-ED. Your current long zoom is 26.3 oz. (745 g) and the 55-200mm "kit" zoom is 10.6 oz. (300 g), so less than half the weight. I don't think that the tele-kit zoom lens is as durable, nor is it as long, but in a DX format the 200mm is often enough and it's usable sharpness at both ends.

I would add a close-up lens to fit and the Opteka Achromatic 10x Diopter lens is surprisingly good for $25USD.(The following link should fit both your existing 70-300mm and the 55-200mm I suggest [using the enclosed adapter ring], but the 70-300mm would probably vignette like crazy.) These little jewels are cheap and good enough that I have two different sets for two different travel configurations.
https://amazon.com/Opteka-Achromatic-Diopter-Digital-Threaded/dp/B001A5K3BK

Samples of the AF-S DX NIKKOR 55-200mm f/4-5.6G ED VR

FOCAL LENGTH 120.0 mm (180.0 mm in 35mm), APERTURE f/4.8

FOCAL LENGTH 200.0 mm (300.0 mm in 35mm), APERTURE f/5.6

FOCAL LENGTH 55.0 mm (82.0 mm in 35mm), APERTURE f/4