So you really prefer not to run the ozone through your skimmer ? (
When I did, the ORP was no higher than with the reactors, and the whole basement stank of ozone.
I discuss the pros and cons of skimmers for ozone in the article. It often isn't an optimal use, IMO, since it is not typically optimized for the things one would want when using ozone, but I recognize that most aquarists use it that way, and may not care if it is optimized or not.
The blow off of ozone gas is the biggest drawback, IMO, and you need to work out a solution (some of which are shown in the article; skimmate collectors with carbon on the air outlet, or commercial air/carbon filters, for example).