I'll sit out on the discussion of AZ's now non-existent "training" requirements for legally carrying concealed, having expressed my opinion previously, elsewhere. To the OP's point, my wallet with Drivers License, CCW, credit and other cards, keeps growing past its already prodigious bulk, and is uncomfortable and awkward to carry in many forms of garb that simply don't accommodate it very well.
As a work-around, I have acquired (at Sportsmens Warehouse, or REI, or some such place) a very small "wallet" with two zippered compartments just large enough to hold a couple of "standard" size credit/debit cards, folded up currency, my hunting licenses and big game permit tags, a key to my truck, and, a duplicate copy of my Drivers License, which I obtained from AZ DMV by simply requesting it, (averring that the original had been "lost", which didn't preclude it from being later "found"). To these few and absolutely necessary items, I've added a high quality, full color, protectively laminated, copy of my CCW, which at least shows that I've been issued a CCW.
This little wallet is only a fraction of the bulk of my "every day carry" wallet, and easily fits into a shirt vs. pants pocket, a significant consideration for anyone such as me who may end up wading while messing around in small boats. It is otherwise easy to carry in almost any garment with pockets of any sort, or, tossed into a fanny pack or etc., and thus easy to have handy, if need be.