Takin' all recommendations

This map shows how far I am willing to travel one way.

Im taking my daughter to go wheeling and play in the cruiser this weekend, its also free NPS day. So here is the deal. I am leaving Sunday night and coming back Monday night and my max travel time is 4 hours 1 way....where should I go? The goals are:

Epic off road driving

warm (ish)

hotels (my daughter isn't up for camping just yet)

Someplace interesting enough for stops to entertain 2 2 year olds.

Thoughts?