Hi again Dimensional:
I do understand your need to expand your experience. Everybody has been there; some PPLs stop pushing themselves and never fly beyond their airfield's locality (or even stop flying), others expand their flying horizons steadily and safely. Clearly, you want to be the latter.
So a three part suggestion:
1. From the legality point of view, consider what Atco Two and Bookworm have said about landing clear; check the ANO (or Trevor Thom or Jeremy Pratt or whatever book you used for Air Law). You can maybe ignore their 'private discsussion' about SVFR separation & helicopters, since you will only want to fly your 152 in good weather.
2. Consider the airmanship aspects of your plan.
3. If you are happy about both the above, talk through the plan with the CFI of the club hiring you the a/c on the day. He can help you weigh up all aspects, including your own experience, aptitude, weather of the day, a/c servicability, traffic density etc.
4. Think now about an alternative plan in case you decide 'no' based on 1, 2, or 3. If a key objective is to gain experience if a class D transit, consider Luton who have a VFR lane through their CTR which routes through the overhead.
Have fun, safely