Welcome to the confusing world of audio nirvana.
First off, the 3805 can defintely handle these speakers purely from the mono-amp perspective. The 3805 spec reads:
160 W + 160 W (6 Ω/ohms, 1 kHz with 0.7% T.H.D.) This a little ambivalent, I would more conservatively assume 150W across the freq. spectrum. BTW congrats on your purchase, those should be a sweet speaker. Even sweeter if bi-amped properly.
The problem is not as straight forward as it seems. And most trying it get it wrong. Based on the active bi-amping theory, which I'm not sure works for the passive but we'll assume it does, the crossover point between the LF and MF/HF is the important variable in this equation. Basically, the theory states that the crossover point (network) determines how power is distributed.
X-over Frequency (Hz) Power to Bass (%) Power to Mid+High (%)
250 40 60
350 50 50
500 60 40
1,200 65 35
3,000 85 15
5,000 90 10
This info is taken from an article at the following link:
http://sound.westhost.com/articles.htm Its a little technical but well worth reading.
Unfortunately, Monitor Audio does not offer the crossover points on their website. Generally, speakers of this caliber have fairly low crossover points. But we see from this table that only a crossover point of around 350 Hz benefits from amps of equal power. If, however, your speakers have a crossover point of 250 HZ, then bi-amping the speakers based on their power capability results in required amps of 80W for LF and 120 for MF/HF.
If you use the 3805 to bi_amp the speakers, the LF receives 150W but the MF/HF requires 225W for proper balance. Basically, this equates to an amp rated at 180W @ 8 ohms. This is dependent on the amp. A Sunfire would only require about 120W @ 8 ohms. BTW, the Sunfire 200 actually gives you 300W into 6 ohms, which is OK. It just means that you don't have to push the amp as hard for great quality sound.
I may be way off base on this as I have never done it. What works in theory does not always work in reality. If there are any speaker designers out there, perhaps they could shed some light on this confusing subject.
Be sure to check specs and don't be afraid to ask questions. Many people on this site are more than willing to educate the uneducated.