Until the "tax-tool" is updated for 2022, you do need to look at the list of plans to find the 2nd lowest. You should be able to filter on silver plans and sort by cost.
All other information you need is available but can be difficult to find and calculate. The poverty level tables are at HHS. For TY2022, use the 2021 table (not the 2022 table) from HHS or the federal register reference on this page:
https://aspe.hhs.gov/topics/poverty-economic-mobility/poverty-guidelines/prior-hhs-poverty-guidelines-federal-register-references
The "applicable figure" table normally adjusts for inflation, but they were changed and fixed for TY2021 and TY2022, so last year's table should work (and the IRA extended that change thru 2025). The repayment limit tables do adjust for inflation. The changes for TY2022 were published in RP-2021-45.