Nope
Only the builder of your prospective specific RV-7A can perform the annual if he or she has the Repairman's Certificate. Nobody else but the builder qualifies as a Repairman. Those 16 hour classes you are referring to have relevance to certain aspects of the light sport market. My friend just took the class. Won't work for an RV - at least not until perhaps the 12 and that probably also depends on how it is certificated.
Otherwise only the builder of that specific experimental aircraft, or an A&P or an A&P-IA can perform the annual condition inspection.
If you purchase this plane, you may do all of the maintenance, so long as you do not make a major modification to the aircraft (i.e. change to larger engine or different prop, etc.) and you can even sign off your own work as the owner.
However here comes the big "but"....
Once you do your work, it needs to be signed off at the annual inspection by an A&P (doesn't need to be an IA for experimentals because this is not a true Annual Inspection, rather it is a Condition Inspection. Your aircraft will not technically be airworthy to fed standards, rather it will be in a "condition for safe operation.")
So in summary, if you want to do your own work, yes, you can, but be sure you know a good A&P that will be willing to do the annual condition inspection and during that inspection will be willing to declare your previous work as "in a condition for safe operation."
Good luck with your RV purchase, it is doubtful you will be disappointed...
Rob