"To determine eligibility for RVSM operations, the limitations section of the Airplane Flight Manual (AFM) or AFM Supplement (AFMS) should indicate the aircraft has been determined to be capable of meeting the RVSM performance requirements of 14 CFR part 91 appendix G."
I don't know how you modify the limitations section of an AFM (or add an AFM supplement) without an STC, but maybe there is another way?
Read that note carefully - it's not saying that your limitations must say you are RVSM certified, it only says that your limitations allow you to meet the performance requirements. Do you have any limitations that indicate that your airframe can't meet the requirements of 14-91-G-9? It's a pretty short list of performance requirements. If there is anything in there that says you can't, then stop - you're done. But I bet there's not.
My limitations section tells me I can't go above 35,000 feet. The G600 can meet RVSM requirements at higher altitudes, but my airframe can't. Nothing I do with section 9 can change that, so my RVSM altitudes are limited to FL350 and below. A KA90 that goes through section 9 will only gain FL290 and FL300 due to an airframe service ceiling of 30,000 feet. Find every limitation on every piece of equipment you have installed. If any of them say you can't use it RVSM, then it's game over - you can't. But other than that, you can get the airframe approved through section 9 - subject to the same limitations you had before approval.
No experimental has ever been certified RVSM, and no experimental is ever given a limitations section that says you CAN meet RVSM requirements - yet the regulations give a clear and explicit path for experimentals (and other airframes) to become RVSM approved. It's not about modifying the plane or changing the TC. It's about first checking that you will meet the performance requirements, and then proving that you do meet the performance requirements. No changes are made to the AFM by STC or otherwise.
If you think "They never meant for it to be this easy" - read the notes in the federal register.
https://www.federalregister.gov/documents/2018/12/21/2018-27401/use-of-automatic-dependent-surveillance-broadcast-ads-b-out-in-support-of-reduced-vertical"This action recognizes the enhancements in aircraft monitoring resulting from the use of ADS-B Out systems and responds to requests from operators to eliminate the burden and expense of the current RVSM application process for aircraft equipped with qualified ADS-B Out systems."
"This action amends Appendix G of part 91 of Title 14 of the Code of Federal Regulations (14 CFR) to permit an operator of an aircraft equipped with a qualified ADS-B Out system meeting altitude keeping equipment performance requirements for operations in RVSM airspace to operate in that airspace without requiring a specific authorization. Under this action, the FAA considers a qualified ADS-B Out system to be one that meets the requirements of 14 CFR 91.227. The FAA is taking this action based on the technological advances provided by ADS-B Out systems. As a result of these advances, detailed applications and specific authorizations for operators of these aircraft to conduct operations in RVSM airspace are no longer necessary. The amendment also removes the detailed designations of airspace where revised RVSM may be applied that were previously found in Appendix G of part 91."
You HAVE to meet the performance requirements - but you're allowed to find out if you meet them with a simple test flight in RVSM airspace, instead of installing complex equipment and flying with a trailing cone. NONE of the regulations say that the plane must have been previously RVSM certified.
Yes, it is as easy* as it sounds, and 1,600 aircraft have figured this out. Go to your local FSDO and ask - the worst thing that can happen is they tell you I'm full of it and you leave non-RVSM just as you went in, but better informed.
*Easy is relative. It took me about 20 hours over 8 weeks to fix my ADS-B mess, plus 3 flights that I was taking anyway. Most Commander operators will pass on the first flight with about 2-4 hours total work.