New Home Construction - Financing Options

My wife and I are planning to build a home within the next few years on a lot that we own and I'd like to get some thoughts about potential financing options from those in finance or from those that may have been a similar situation. We are in the very beginning stages of planning so we haven't gotten into any serious discussions with any builders/lenders. We own the lot outright and it is likely worth $300K. We owe approximately $90K (3.375% rate) on our current home and it's likely worth $275K. We've been trying to pay off our current home before building a new one, but I'm not sure that's the right thing to do with interest rates rising.

Since we haven't selected a house plan yet, we really don't know how much we are going to spend on a build, but it's safe to say that we wouldn't finance more than $300K-$400K on the build maximum. We have some cash already set aside for construction costs and we're working on building those savings to minimize construction loan costs, but we definitely don't have enough cash to finance a complete build and will have to take out a construction loan at some point. Any thoughts or advice about how best to proceed from a financing prospective and what types of loan products would be best?