According to my calculations, a class two card should actually suffice, at least in theory. Given the low price of 1GB good quality (Sandisk) class two cards, the experiment isn't a costly one to try on your particular recorder.
However - a class 2 card is only a class 2 card when formatted. When badly fragmented, a class 6 card degrades to class 4, etc etc. So a class 2 card might become too slow (class zero?!) if not formatted at the outset.
I do plan to do some long and repeated soak tests with class 2 cards in an R-44 and H2 before long.
As pointed out elsewhere, you do have to consider read speed too - but if that's not such a big issue, and you want to reduce media costs (even archiving on the card) then slower cards may be worth considering.