7.6 inch thickness is not a big deal for the fabrication.
At this point, it is very valuable to confirm why it is used a solid stainless steel. In general, solid stainless steels (e.g., austenitic stainless steel-300 series) are used for the following conditions;
(1) corrosion service - solid stainless steel for less than 1/2" to 3/4" thickness required [cf, stainless steel clad on carbon or low alloy steels over than 1/2" to 3/4" thickness required]
(2) cryogenic or low temperature service - solid stainless steel (e.g., 304SS, 316SS)
(3) elevated temperature service - solid stainless steel (e.g., 309SS, 310SS, 347H SS)
If this particular case is in above (1), it is positively recommended stainless steel clad material instead of solid stainless steel.
To minimize the thickness in design state,
(1) material selection: to be considered high strength metals (e.g., quenched-tempered steel-carefully selectable, normalized-tempered, TMCP, Cr-Mo-V added low alloy steel, etc.)
(2) applicable equipment code: ASME Sec. VIII Div.2 instead of Div.1
To minimize the fabrication cost;
(1) developing the welding methods (e.g., narrow gap or double J groove welding)
(2) strong QA/QC system
If you work in North America or the site is in there, please keep in touch with "Dacro Industries Inc." in Canada as below.
1-780-437-9700
Probably you can get the whole solutions of your questions from Dacro.
NACE Materials Selection/Design Specialist