As a general rule 10M is upper side band so you probably won't hear much on FM.
The "go to" radio I hear 70+% of folks running is the ICom IC-7300. It seems to be the work horse of the HF Bands. Maybe one day I'll save up enough to get one. Until then the Radioditty QT80 isn't a bad way to go for $300. It'll get you 10M, 11M, 12M and 15M FM, AM, LSB and USB and is 80w so you can get out pretty good with a decent antenna. It has a built in SWR function that you can use to help tune your antennas. The only negative I've found is how the coax connects to the radio. It's a pretty tight area but I got around it by using a BNC adapter on the radio and coax so it's easy to connect/disconnect.