The basic problem here is that while an FX-8350 would give you about 20-25% more single core speed, the VRM solutions on motherboards in this segment tend to be fairly anemic, and even if a 125W CPU is technically supported, I can't vouch for you not having problems at higher loads. Nor is the improvement enough that I can justify recommending you spend money on getting another AM3+ motherboard in addition to a CPU; it's an underperforming platform from 2011, after all.
Staying at 95W, the only real upgrade, from a single-core performance, is an FX-6300 (slightly faster in that than the 8320e). But again, I'm not sure the marginal upgrade is worth the cost. I wouldn't recommend, but only you can say for sure if buying a 6300 for 10-15% more single-core performance is worth it to you.
Personally, I would continue to save up money for an upgrade that is more significant. If you're on a budget, you need to make your upgrades *count*. I can't in good conscience advise someone on a budget to drop all their PC savings into a slightly better version of a platform that is essentially unpurchasable today otherwise.