Joined: Mar 2015
Posts: 1,106
Likes: 518
From: New Zealand
Bikes: Gunnar, Concorde, Peugeot 753, Marin, Pete Tansley, Rocky Mtn, Worldrider, Francis Quinlan, Bob Jackson, Winora, Avanti, Klein, Quintana Roo, Shogun, Carlton, Emmelle, Specialized
Yes you can run 700c tires. The only issue is that MTB rims are wider than road rims. Measure your rim width and then get something larger/ equal size. You can run tires narrower than the rim, but it causes issues, and looks as stupid as people who stretch tires on their cars.
23/25mm is a standard road tire.
28/32 is big comfy tires on a road bike
Your weight only means you should keep them inflated correctly, to avoid pinch flats. Just get something with minimal tread if you don't ride trails.
You could run a 25 racing slick. That would be silly though.
35 is a perfect size imo
Panaracer Pasela 35 is good.