Everything you mentioned is paved, gas maybe a stretch depending on the route you take.
Accommodations in Lynn Lake may be a challenge. Flin Flon should be ok, camping nearby at Bakers Narrows.
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2011 BMW R1200GS Triple Black, 2010 HD Heritage Softail, 1983 Yamaha RZ350, 1978 Yamaha XS650 SE,1967 Honda CD125, 2007 Kawasaki Super Sherpa.