If in about 3-4 months I go to refinance to pull my cash out, will the appraiser be able to justify a higher valuation based solely on the market rent increase?

It talks about where their is demand, where rents are increasing and decreasing.  

I know that <5,000 sqft you do not)Legal: $3,500Other: $16,000 (Budget for unforeseen issues)Tap & Capacity Fees: $27,515 Building Permit Cost: $2,391.17 (estimated $706K total costs)Site Plan Review: $224.64 ($100 + $.015 p/ sqft)Wastewater Capacity Fee: $750 per unit x 8 = $6,000Water Capacity Fee: $750 per unit x 8 = $6,000Meters: $300 per x 8 = $2,400Water Tap Fees & Install: $300 per unit + 900 installation = $2,400 +900 = $3,300Wastewater Tap Fees & Install: $300 per unit + 800 installation = $3,200Facilities Tax: $4,000 - ($500 * 8 units, I am assuming this will change as I haven't asked solid numbers )Total Development Costs: $783,785 (8 units costing $94, 848 each, which I think is high)Proforma CF $ - Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Income   Rental Income (Increase 2.5%/yr) 2.50% $ 79,200.00 $ 81,180.00 $ 83,209.50 $ 85,289.74 $ 87,421.98 $ 89,607.53 $ 91,847.72 $ 94,143.91 Vacancy (10% in Yr1) 5% $ 7,920.00 $ 4,059.00 $ 4,160.48 $ 4,264.49 $ 4,371.10 $ 4,480.38 $ 4,592.39 $ 4,707.20 Gross Income $ - $ 71,280.00 $ 77,121.00 $ 79,049.03 $ 81,025.25 $ 83,050.88 $ 85,127.15 $ 87,255.33 $ 89,436.72                   Expenses                   Real Estate Taxes $ - $ 9,000.00 $ 9,090.00 $ 9,180.90 $ 9,272.71 $ 9,365.44 $ 9,459.09 $ 9,553.68 $ 9,649.22 Insurance 2.50% $ 3,000.00 $ 3,075 $ 3,152 $ 3,231 $ 3,311 $ 3,394 $ 3,479 $ 3,566 Trash Collection ($250/unit) 1% $ 2,000.00 $ 2,020 $ 2,071 $ 2,122 $ 2,175 $ 2,230 $ 2,285 $ 2,343 Common Utilities 2.11% $ 2,400.00 $ 2,451 $ 2,512 $ 2,575 $ 2,639 $ 2,705 $ 2,773 $ 2,842 Management Fee (10%) 10% $ 7,920.00 $ 8,712 $ 8,930 $ 9,153 $ 9,382 $ 9,616 $ 9,857 $ 10,103 Repairs/Maintenance 3.00% $ 2,138.40 $ 2,313.63 $ 2,371.47 $ 2,430.76 $ 2,491.53 $ 2,553.81 $ 2,617.66 $ 2,683.10 Turnover/Redecorating 1% $ 2,000.00 $ 2,020 $ 2,071 $ 2,122 $ 2,175 $ 2,230 $ 2,285 $ 2,343 Snow Removal/Parking lot cleaning 2% $ 1,500.00 $ 1,530 $ 1,568 $ 1,607 $ 1,648 $ 1,689 $ 1,731 $ 1,774 Landscaping 2% $ 2,000.00 $ 2,040 $ 2,091 $ 2,143 $ 2,197 $ 2,252 $ 2,308 $ 2,366 Admin Fees 1% $ 1,200.00 $ 1,212 $ 1,242 $ 1,273 $ 1,305 $ 1,338 $ 1,371 $ 1,406 Total Expenses $ - $ 33,158 $ 34,463 $ 35,188 $ 35,930 $ 36,690 $ 37,466 $ 38,261 $ 39,074 Net Operating Income $ - $ 38,122 $ 42,658 $ 43,861 $ 45,095 $ 46,361 $ 47,661 $ 48,994 $ 50,362                 Property Value @ 8 CAP $ - $ 476,520 $ 533,223 $ 548,258 $ 563,686 $ 579,517 $ 595,761 $ 612,428 $ 629,530 Obviously, Once I account for my debt service (DS), say $758,000 @ 5.25% for 240 months ($5,108 p/ month), I am under water.Year 1 NI [$38,122] - DS [$61,296] = -$23,174 = Meaning I cannot do this project.......

Every Lender has their own way of looking at this, unfortunately, and there may be other things that are under consideration so best advice ask your lender and if they say they can't do it then I would seek out a Mortgage Broker in your local area

I want to send a notice introducing us as the new owners and giving them notice that in order to renew their lease they first must consent to a criminal, credit, and eviction screening under our new minimum qualifications/new lease terms for all persons over the age of 18 that live in the home and also inform them that rent will be increasing November giving them the chance to stay if they want  and meet our rental qualifications or decide if it's best for them to move.I want to know does this seem reasonable and if there are some things I should consider before moving forward with this plan?

Refinancing could be an option, but I don't want to end up in a position where the increase in P&I payments would negate any Rental NOI.

Average home sales prices increased 6% to $172,152.

As far as the number of units it doesn't matter, you can get 4-plex after 4-plex as long as all your VA loans don't add up over $424,000, that it is increased in more expensive areas, over $700k in the Bay Area, Hawaii etc. 

Well I'd say the first consideration is to differentiate the differences between flipping and buying a buy-and-hold (turnkey or out-of-state or not).

The vinyl ones seem pretty bullet proof outside of costing considerably more.