I don't think there is really much point in buying a set of 6550s for the amp just yet.
Before committing to the work, you typically pay the repair facility a bench fee. This is basically a flat fee that is non-refundable so a tech can develop and initial estimate for repair cost. Before proceeding the tech will get your approval to proceed. Any residual value remaining in the bench fee goes towards repair.
Before installing the tubes, a tech should go through the amp and make it right...or at least do the best he/she can. The amp does not need tubes to check the transformers, power supplies, and grid networks. The idea is to make sure required operating voltages are properly distributed to the tube sockets, before tubes are installed. In an SVT, the output tube sockets get ground for the cathodes, about -47V for the controls grids, about 350V for the screens, and just under 700V for the plates.