It sounds to me like you want justify your membership in the Club and the USFSA. You're already excited, even without touching Club ice! Do it!
Make it a present for you from your daughter instead of feeling like you're spending money on yourself.
However, the USFSA does NOT require test chairs to be members. Clubs have been run for years and years by parents and guardians. Most join the club to show their support.
Some Club Presidents are non-custodial grandmothers that are not Club members. Some clubs might have that clause in their bylaws, but the boilerplate template the USFSA provides does not require this. I doubt your Club has this requirement unless there was an incident in the past that made them change the bylaws to include it.
One club that I was a member of found that their annual competition raised a ton of money one year. The president's skater-daughter needed a new skate bag, so she ordered customized skate bags for every club member. No meeting, no vote, just charged it to the Club. The bags were too small for adult-sized skates, but they had our names on them so we couldn't even give them away.
The adult skaters were furious, saying that much money should have been put to a vote before being spent. I could see both sides because the kids looked really sharp walking into competitions with matching bags. We didn't have a synchro team.
They mounted a successful election campaign to put one of the adults on the Board. (As an associate member, I couldn't vote. Nor did I get a bag, which was for the best anyway.) The bylaws were changed to include a rule about disposing of assets or making purchases over $x only with a Board vote.