Re posted April 23 2019
Karakol to Jeti-Ögüz. I've taken a shared taxi. I've taken marshrutka #371 and I have cycled.
The easiest way to get from Karakol to Jeti-Ögüz is to get your guest house to order you a taxi. Standard rate is 700c. This is one way or return. Waiting time per hour is 100c. At the bazaar, you'll pay more than 1000c, just because you are a tourist.
But for budget travellers who generally have time on their hands, there is another option!
The budget way is to take marshrutka #371 from the South West corner of the main bazaar in Karakol. It's on the junction of Torgoeva and Aldasheva steets. Here's the spot on Google Maps. Cost is 40c and is scheduled to leave at 10am. In reality it leaves later.
I have lost my marshrutka photos from Karakol. I had photos of each and everyone in Karakol to prove that the marshrutkas to exist, contrary to what everyone is gonna tell you. I still have contacts there and will ask for a photo! But Google map shows one of the illusive marshrutkas, just to prove I am not talking out of my ass!
There's another one, #355 (screen shot from Google maps Street View) at around mid day but this one goes on the whim of the driver. The last stop is still 10km from the resort, in Jeti-Ögüz village, just off the highway. You can hitch, get a shared taxi or walk.
If you are cycling, Jeti-Ögüz is just over 30km from Karakol, the road is sealed but not smooth and the last 12km are climbing slightly. If a 70km plus round trip in one day is too much you can stay over night. I'd recommend staying at Emir Guest House. It's a great place for a night or a week.