Infinite homotopy stable class for 4-manifolds with boundary

We show that for every odd prime q, there exists an infinite family {Mi}∞i=1 of topological 4-manifolds that are all stably homeomorphic to one another, all the manifolds Mi have isometric rank one equivariant intersection pairings and boundary L(2q,1)#(S1×S2) , but they are pairwise not homotopy equivalent via any homotopy equivalence that restricts to a homotopy equivalence of the boundary.