I ran 31s on my 97 AW4 for 7 1/2 years before I stepped up to 33s and I will tell you 33s are MUCH better to wheel with than 31s. I rolled right over obstacles with ease that took more effort to get over with 31s. I have had the 33s on with stock gears now for 2 1/2 years and I will say it is tough on the Jeep. It does not go fast AT ALL. But with all the performance mods I have done, air intake, 99+ intake manifold, header, high flow cat, flowmaster 50 series, 703 Neon injectors (these gave me the biggest boost in MPG), I can still pull about 13.5-14 in town and 16-17 highway (depending on how hard the wind is blowing). In this hot summer heat here in Georgia my trans gets very hot (I have a gauge and aux cooler bypassing the stock in radiator cooler) and my engine tends to run a little hotter than I like, nothing dangerous probably 215-218. Pretty sure my fan clutch needs replacing as well. My plan was 33s and save for re-gearing, just taking longer to get the money together. But outside of it running hot during the summer it isn't THAT bad with 33s, just not ideal by any means.
So, can you run 33s daily? My experienced opinion is Yes. Is it hard on the Jeep? Yes, but again in my experienced opinion its not terrible.
Here is my advice, get the 33s, try them out and see how you like them. If you don't like the performance throw back on the 31s and run them until they are worn out. During this time save up for re-gearing. Re-gearing, 33s, and those lockers will make your rig a very capable vehicle.