Adam Tillcock, the 2012 recipient of the Academy's most improved player award, continued to impress with an unbeaten 101 in the pre-season Second Eleven friendly against Essex.
Nottinghamshire's first innings had stalled at 158-5 before Tillcock constructed a patient hundred alongside New, Parkin-Coates and Bacon.
Having established a first innings lead of 146, the rain prevailed and prevented Nottinghamshire from securing victory.
Sam Wood returned match figures of 4-51. The Second Eleven begin their competitive season with a Trophy match against MCC Young Cricketers at Radlett on Monday.