Does it have to be in one step?
You note that (I think) your carbon chain is rearranging if you try Friedel-Crafts alkylation.
Why not form an ester of the acid, doesn't really matter much what as long as it's not too hindered. Then Friedel-Crafts acylate with 2-methylbutanoyl chloride.
Now you have a ketone at C3, but you can reduce that down to the methylene and saponify the ester under Wolff-Kishner (Huang-Minlon modification) conditions, then re-acidify on work-up to regenerate the acid.
S