We present an estimate for the effective energy of polycrystalline shape memory alloys that takes both intra-grain compatibility conditions and inter-grain constraints into account. That estimate is constructed using ideas and results from homogenization theory and from the translation method. The proposed estimate depends on the texture through 2-point statistics and is proved to satisfy known rigorous bounds that depend on the same microstructural information. Several examples are provided to give some insight on the proposed estimate and illustrate how it behaves relative to the bounds. The presented examples range from strain-driven uniaxial tension in the superelastic regime (high temperature) to the estimation of recoverable strains in the shape memory regime (low temperature).