Some easy day trip suggestions, from Miami:
Head to Homestead, then enter Everglades National Park. Head for Flamingo for lunch. Low speed limits, but very light traffic at the right time of the year. I like mid November, whether is cooler, snowbirds haven't gotten here yet, and almost no mosquitoes. The roads in the park are nicely paved, with 45 MPH speed limit. Mostly, there's enough to see that I don't feel the need to go much faster anyway.
Get on I-75 Westbound (Alligator Alley) until mile marker 49 (Indian reservation). Head north on government road (CR-833 or BIA-1281), through the Indian reservation. Go North for about 25 Miles, to the junction of CR-833 & CR-846 Decide:
1. Take CR-846 to the East. Road is rough in spots, but has a few curves, follow the road until junction of CR-846 & US-27, just to the East of Clewiston. Take whatever road back to Miami suits you, mostly boring, but quick from here.
2. Take CR-833 on North, follow the road until it junctions with SR-80, then head East which will put you on US-27 to Clewiston.
3. Take CR-833 North, follow the road until a very odd junction that will take you South on CR-846 heading to Immokalee. Watch for a road junction heading South to the Hendry county jail (CR-840). It dead ends jail junction, bear right on CR-858. Just before this road junctions with SR-29, there's a filling station out in the middle of nowhere that is often used by motorcyclist for a break area. From here take SR-29 South. Join I-75 for a quick trip back towards Miami, continue on South to US-41 towards Miami, or head on down to Everglades City or Chokoloskee.
US-98 & SR-78 around Lake Okeechobee can be interesting, if traffic isn't too heavy. Several decent roads North and West of the lake.
That's a start, anyway. I find lots of neat and out of the way places in Central Florida. One way is to go somewhere into the interior, the more remote the better, and then pick a major city on a tell the GPS navigator to route you there, using the SHORTEST route. I've found roads that way that included wooden bridges and roads so narrow that it's like they were "designed" for motorcycles, and one way at that!
Good luck, and have fun.