We used to use cotton T-shirts to cycle in, but found that they didn't dry very quickly and really needed ironing to look anything.

We then used cycling tops made from 'Coolmax' material which are easy to wash, dry quickly and need no ironing, however they had a downside and that was they did need washing each day otherwise they started to hum a bit.

We now use Berghaus shirts which are made from ARGENTIUM® fabric which wick sweat away well, are easy to wash, dry quickly and need no ironing. They have a Polygiene® coating which certainly works to mitigate the odour problem if you can't wash them for a couple of days.