I've actually been idly considering a "RTW" that's cobbled together from other awards. Not all of it is in F, but it is interesting in that it's not a huge sum of miles.

One-way West Coast USA-Hawaii: 12.5K BA miles in Y on AS or AA.
SEA/PDX/SJC/OAK/SAN/LAX-HNL/OGG/KOA/LIH

(optional: intra-HI flights for 5K US/UA/AA miles)

One-way Hawaii-SE Asia in F: 50K UA miles
HNL-NRT(UA)-BKK(TG)

Open-jaw US SE Asia redemption in C: 30K US miles:

BKK-DPS(destination)-SIN-BLR

One-way AA India/Middle East-Europe redemption in F: 40K AA miles

BLR-LHR in BA F or BLR-AUH-LHR/CDG/FCO in EY F

One way BA redemption in on EC (OpenSkies) Premium Economy (which is really a very nice recliner, used to be Biz Seat, is now Prem Plus): 30K BA miles

ORY-EWR in EC Y+

And to finish it off, one NYC->West Coast on AA/BA/AS/DL, 12.5K miles in Y.

175K miles total (but spread out over a variety of sources), stops in Hawaii, SE Asia, India, Europe and NYC. And all easily done with some credit card churning...