This post will probably open a big can of worms.
If you definitely want a graded date run, you have set your own criteria, so will have to bite the bullet and buy another. It really depends on what you want as the US market is firmly addicted to slabs, and dare I say it, afraid to contradict the 'experts'. You bought the coin because it looked good, and for most people, that will and should be the determining reason. Personally, I think people should collect for pleasure, and not as an investment. If you are thinking along the lines of the second, then you will have to go for higher grades, as that is what the 'investor' is looking for. The phrase on the reverse of the details slab says it all. 'Details grade does not determine value' implies the converse, i.e. a graded number will dictate the price you must pay. Clearly this is nonsense, as no two coins are the same, and by extension do not necessarily pass the 'does it look nice?' audition, even if the TPG thinks they are equal. The top end of the US market, or those trying to outdo the other slab collectors in the competitive most highly graded type sets promoted by the TPGs, is driven by someone else's opinion, and not that of the person who is spending the money. To a large extent, slabbing is a triumph of marketing over a willingness on the part of the collector to do the necessary spadework. Horses for courses, I'm afraid.
Yes, a TPG submission is a bit of a lottery. However, for those who collect the coin rather than the number, slabs can offer countless opportunities to acquire incorrectly identified coins; or correctly identified coins, but in a slab too lowly graded to attract the money irrespective of its appeal. From a personal perspective, maybe 20% of the hundred or more slabs I have bought have fallen into one of these two categories, with lower MS numbers frequently looking better than the higher graded examples from named collections, the latter of which apparently deserve a better rating. And a details or maybe a VF or whatever grade on a coin where I am struggling to find any suitable example is a no-brainer, with bargains aplenty. That can be really good.
Even if you are firmly on the slabbing route, there is nothing wrong with buying raw coins if you have familiarised yourself with what constitutes an uncleaned, naturally toned, and basically untampered with, example. For the beginner it is a steep learning curve with mistakes necessarily being made to provide the experience of what a 'good' coin looks like, but it gets easier with time. i.e. just like everything else in life. It is the numismatic equivalent of the saying, 'the harder I practice, the luckier I get'. Slabbing attempts to remove this learning curve by saying 'you don't need to know, just accept what we say', leading to a healthy income for the TPGs with their captive adherents.
Ultimately, the decision is for you to decide what you want. Collecting isn't a p'ing competition, just something for personal satisfaction and interest.