I think the Klimax Chakra should work just fine, though there is no doubt that the Solos would be ideal. The 802D has good sensitivity (90db I believe), and the Chakra is a very big 125 Watts (i.e., much more capable of driving a tough load than almost all amps of similar power rating). So don't let the number itself scare you.
I share your affinity for Linn amps, especially the new Chakra series - incredibly open and detailed - really more so by far than anything else I have heard. For some they may possibly be just a tad lean, but most of the leanness in Linn gear seems to come from their preamps in my experience. And personally, I feel the speed and detail that you get in exchange is more than a fair trade off.
I share your affinity for Linn amps, especially the new Chakra series - incredibly open and detailed - really more so by far than anything else I have heard. For some they may possibly be just a tad lean, but most of the leanness in Linn gear seems to come from their preamps in my experience. And personally, I feel the speed and detail that you get in exchange is more than a fair trade off.