Two articles that might be useful with the scant tilt / significant eccentricity are the bit on planetary characteristics from the Wikipedia article on planetary habitability, and this world builder thread.. One thing I can glean is that it is the marked tilt of Earth that 'sloshes' warmth toward poles; with less tilt the poles would be colder and equator warmer - all other things being equal. Your eccentricity could exacerbate that moderate it, depending on which direction the tilt is at which part of the orbit.

I can only assume the Hadley Cells stay symmetrical, and three in number per hemisphere, so the general pattern of highs and lows might be similar to Earth's - except with less Intertropical Convergence Zone motion during the year, maybe the summer to winter highs vs lows shifts would be minimized. If the cells stay like we're used to, you get the same (-ish) bands of wetter vs drier climate. Did you start with bands to get those highs vs lows, or did you just use the "continental high in thus-and-such season" rules of thumb?