This group of trails go right through the middle of Bowie park. in a park like this, you can just make your own loops using the trails that are scattered everywhere.
Stark Springs - 0.45 miles (twice)
Bluff trail - 0.45 miles
White Pine - 0.53 miles
Little Turnbull Trail - 0.33 miles
I do get on the Twin Lakes trail for a very short bit.