I'm doing a real great job with my terminology here, aren't I? I meant - highest up on the periodic table.
That is:
Stability goes like this: H2CO2 < Li2CO2 < Na2CO2 < K2CO2 < Rb2CO2 < Cs2CO2. In general, group 2 carbonates (Be, Mg, Ca, Sr, ...) are even less stable because the +2 charge is even more polarizing than the +1 charge in group 1 cations. Group 2 bicarbonates don't even exist in solid form.
Bicarbonate is just a hybrid, where one of the lower-period cations is replaced by hydrogen. So I'd expect lithium bicarbonate (LiHCO3) to be intermediate in stability between H2CO3 and Li2CO3. I don't have reaction enthalpies handy to prove that, but you can probably look them up somewhere.