You not only cannot carry it in Meijer but you cannot carry it anywhere on their property. You cannot walk across the parking lot or cut across the lawn of any of the places listed above. There is some spirited debate on that but I tend to interpret grey areas in the law conservatively.750.234d Possession of firearm on certain premises prohibited; applicability; violation as misdemeanor; penalty.
(1) Except as provided in subsection (2), a person shall not possess a firearm on the premises of any of the following:
(a) A depository financial institution or a subsidiary or affiliate of a depository financial institution.
(b) A church or other house of religious worship.
(c) A court.
(d) A theatre.
(e) A sports arena.
(f) A day care center.
(g) A hospital.
(h) An establishment licensed under the Michigan liquor control act, Act No. 8 of the Public Acts of the Extra Session of 1933, being sections 436.1 to 436.58 of the Michigan Compiled Laws.
(2) This section does not apply to any of the following:
(a) A person who owns, or is employed by or contracted by, an entity described in subsection (1) if the possession of that firearm is to provide security services for that entity.
(b) A peace officer.
(c) A person licensed by this state or another state to carry a concealed weapon.
(d) A person who possesses a firearm on the premises of an entity described in subsection (1) if that possession is with the permission of the owner or an agent of the owner of that entity.
(3) A person who violates this section is guilty of a misdemeanor punishable by imprisonment for not more than 90 days or a fine of not more than $100.00, or both.
Oh, and they do not have to actually sell alcohol; they only need a license to do so.
You can use this link http://www2.dleg.state.mi.us/llist/ to do a county search of all liquor licenses.
So without a CPL your only choice is to seek permission from any place you frequent that would be included on the above list. I'd suggest getting any permissions in writing.