There are many 'single/double cell boost converters' out there. Most will happily operate from voltages as low as 1.2V start up (1.2-5v generally) and output 5v at a half decent current.
The advantage of using these IC's is efficiency (80-90%) and ease of use. I am not prepared to list all the ones I have tried. Make your own list, by going to manufacturers websites (maxim, TI, stmicro, national semiconductor, zetex, sipex...to name a but a few..)
I have recently purchased a lot of NCP1400A's, although these have a maximum output of 100mA, it is more than enough for a max232. There are of course many alternatives, so you're better off narrowing the search based on availablity. I can recommend zetex, spiex and national semi converters, as they all have a wonderful range of low current, ultra high efficiency single cell boost converters, which are cheap and easy to use...requires an inductor, and a couple of capacitors. At 2.8V, it could prove difficult to perform the task in question without a relatively complicated circuit, or hand winding components.
Blueteeth