The best way to optimize ECM/PCM settings for your particular driving requirements is with a programming/scanning system such as EFILive's FlashScan. This system includes software, which will run on virtually any Windows-based computer, and the cabling necessary to connect a vehicle to a PC. The cable includes a "black box" which not only handles PC-to-vehicle communications, it can also serve as a stand-alone data logging device.
FlashScan can be used to reprogram multiple ECMs/PCMs, so if you're soinclined, you can use it to improve the performance of your Corvette, as well as your truck (and a variety of other GM vehicles). On the other hand, there's a relatively steep learning curve associated with electronic engine controls, and if you don't want to climb it, you can order a "mail order tune," or have a professional tuner email you a file that you can "flash" yourself, and use a learning tool.
Regardless of the method you select, your end goal is to optimize operating efficiency at the rpm and engine load levels that your truck encounters when it's hauling your Corvette. Keep in mind that most control settings are contained in "maps"- two- and three-dimensional arrays with individual values associated with specific rpm levels and amount of engine load. Consequently, you don't have to be concerned that changes made to improve towing performance will have a negative impact when you're not pulling a trailer-or vice versa.
Ideally, reprogramming should be done after all other modifications are made, but in the real world, that's not always possible. One of the benefits of using reflashing software is that you can change settings whenever you like, as often as you like. So if you plan to make additional modifications in the future (such as the ported heads/cam installation we have planned for our Silverado), you can re-optimize the settings as required. Some tuners also offer free or low cost "re-dos," so even if you don't have reprogramming software, you can have your truck's computer updated very economically.
Another benefit of reprogramming your truck's PCM is that you'll also improve its performance when it's not towing a trailer. That won't make your truck as much fun to drive as your Corvette, but it will certainly help.