Flip around the radio dial lately? You probably won’t find anything as entertaining as the programming put on by Soviet Free Radio Order. Especially its “At Home Field Guide,” a homespun combination of storytelling, hokey audience-participation games and country-and-western songs that makes Garrison Keillor’s “A Prairie Home Companion” look positively urbane.

Of course, you might want to know that the show is broadcast from downtown Irkutsk in Siberia. America, it seems, has been destroyed by alien robots.

That’s the wildly imaginative conceit of “Samuel & Alasdair: A Personal History of the Robot War,” from the theater troupe the Mad Ones. The entertaining 75-minute piece, which opened last night in the atmospheric basement space that is the New Ohio Theatre’s new digs, is at once daffy and chilling.

In a studio lined with tattered Oriental rugs, the indefatigable radio-show team— a heavily Russian-accented host (Joe Curnutte), a geeky technician (Marc Bovino), a sultry female performer (Stephanie Wright Thompson) and the wonderfully named guitarist Alexei “Tumbleweed” Petrovya (Michael Dalto) — make their best effort at putting on their show, despite many difficulties.

“Hope you didn’t have any goat’s milk in your refrigerator,” the host says after a prolonged blackout.

A dramatic tale about two brothers in love with the same woman is interwoven with musical numbers such as “Hey, Good Lookin’ ” and “Back in the Saddle Again,” while a trivia contest (“Brought to you by borscht!”) produces a disquieting absence of call-ins.

Written by Curnutte and Bovino, who conceived it along with director Lila Neugebauer, the show benefits from Stowe Nelson’s immersive sound design.

If much of the world does get annihilated by an army of ETs, let’s hope there’s something like the Soviet Free Radio Order around to shore up the survivors.