Can I combine the two and run the UPS through the surge protector?
That is not recommnded and can cause more problems than it solves (like damaging the UPS.) There are special UPSs made for A/V equipment. Do not use a computer UPS for A/V equipment. The 700VA UPS should be adaquate for you computer and peripherals (except laser printers.)
It sounds like the surge travelled down a video cable, possibly between the computer or digital receiver and TV. Many people ignore external sources of surges, proper grounding and basic electrical wiring. A surge protector or UPS is not a cure all. Most sources of lightning damage are not due to electrical surges on the power grid.
1. Make sure all RG6s are grounded where they enter the house. A high percentage of dish installers do not bother to ground installations properly.
2. Make sure all interconnected equipment (TV, computer, etc.) are on the same circuit and the electrical circuit is properly grounded. I also use a GFCI on that circuit.
3. Use a UPS on computer equipment and digital (satellite/CATV) receivers.
4. Use a well made power bar for all A/V equipment. Well made does not mean expensive. I have also seen expensive power bars that were poorly made. Trippe Lite makes good, reasonably priced power bars but they are hard to find.
5. Joule rating is not that important. Make sure there are enough outlets for all your equipment. Plug all UPSs and power bars directly into a wall outlet on the same grounded
6. Run telephone cables through the power bar or UPS but don't count on this to stop a surge. The telephone cable should be grounded at the service providers box where it enters the building.