Go for it
1000 miles or thereabouts on a modern bike on proper roads is no big deal, really. But, as several posters have pointed out, you'll need have a really good sleep after that. In order to prevent snoozing off and wasting a day, perhaps scheduling the trip carefully would be a good idea, ie, departure at 7 pm, so as to arrive at the same time or before at your destination. You will miss out on one day (or is it night?) of nightlife, that's all.
Careful scheduling and planning is the key here, you should know whether you are on time or behind schedule, and know how much time you have to burn at any point of time. You should also be comfortable sitting on the saddle for hours at a stretch - the biggest enemy of high average speeds is not low speeds, but frequent stoppages.
Unless you are grossly unfit (or have never ridden for 20+hrs at a stretch), you'll be firing on all cylinders the next day. You'll have much more time in Riga as opposed to taking two days each way, and you just might meet more interesting people there than on the motorway.
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