You are looking for a "dual WAN router." The TP-Link ER605 v2 (don't get v1) might be a good option for you. B&H Photo is a better seller than Amazon to ensure you get the v2. It is wired-only, so you'll need something else to cover your wireless needs. Your existing router may work fine as an access point.
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Some comments and caveats:
Post-back with the model numbers of your current Comcast device, as well as the device that you connect to for your dish internet, so we can make additional recommendations.
Most of the pro-sumer routers that support load-balancing and fail-over are wired-only routers, so if you went that route, you'd need to configure your existing WiFi router to operate as an access point.
This could get interesting if you rely on an integrated mesh system, such as Orbi, eero, Deco, or similar mesh systems.
If you only use a single WiFi router in your home, then the easiest solution I can think of would be to pick up a Synology RT6600AX router. It has WiFi, load-balancing, failover, and a bunch of other features.
If your Comcast device is a modem/router combo, now would be the time to replace it with an ordinary cable modem, since you don't want multiple routing devices in this type of setup.