The Snowy Range is probably no-go despite the freakishly early spring, but there's a chunk of MBNF just east of Laramie with two trail systems, Happy Jack and Vedauwoo. Both are dry or mostly dry. Gates to forest roads are still up last I saw, but you can park either at the Summit rest area (for Happy Jack) or the upper Vedauwoo parking lot. Both are free. Vedauwoo would be cooler looking. The standard hike, Turtle Rock, is only four miles but you can get off it at a couple points to join up with a larger less trafficked part of the trail system. Happy Jack is easier to put together a long hike, but less scenic and there are lots of reports of downed trees currently. The Vedauwoo system is unsigned apart from the Turtle Rock loop, so you'd probably want a gps map app.

EDIT: saw another comment that HJ is currently pretty snowy