Next preamp build - questions about EMI shielding

Hi All,
Planning my next preamp build, for my daughter who just moved into a new (larger) place. It's going to be an H2 V2 board from the diyaudio store. I'm going to include an Arylic Upstream Pro wifi receiver board. Power supply (internal) will be a dual supply using a toroidal transformer with 18V and 8V secondaries, CRC filtered and regulated down to 12VDC and 5VDC for the H2 V2 and Arylic respectively. Chassis will be made out of wood, possibly with a stainless or aluminum back plate, but frankly I'd rather it be all wood.
Everything thus far described is well within my capabilities, but I'm seeking more expert advice on preventing potential EMI noise from the Arylic. The H2 V2 preamp I recently finished is in a wood enclosure (except the bottom and rear which are comprised of a single piece of stainless steel), and has the same power supply as my proposed preamp, but with the 8V secondary left unused. It's dead silent without any additional shielding.
I'm thinking just compartmentalizing the enclosure, with the compartment housing the H2 board lined with copper foil... or would 1/16" aluminum plates between the H2 and the Arylic be sufficient? Thoughts/ideas?