I have to say I used to think it was simply impossible to get tyres back on without levers. Then I changed tyres, and discovered it's simply impossible to get some tyres back on without levers. Tyres vary. Some are easier than others. With some, in my experience, you just do need levers and there's no getting away from it. Can't see that that's any kind of a problem - just do like Tynan says and inflate slightly to prevent the tube getting pinched. FWIW, I also at this point (ie, tyre back on rim, tube slightly inflated) kind of 'knead' the tyre all the way round, to try to make sure it's evenly distributed round the rim. Can't honestly say whether this makes any difference, but it feels right, and makes me feel better!